Difference between revisions of "Language/Multiple-languages/Vocabulary/Topology"
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
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| | | general topology || | ||
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|- | |- | ||
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| algebraic topology || | |||
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|- | |- | ||
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| differential topology || | |||
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|- | |- | ||
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| geometric topology || | | geometric topology || | ||
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=== General Topology === | === General Topology === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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|- | |- | ||
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| closed set || complement <mathematical logic>; open set | |||
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|- | |- | ||
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| compactly generated space || topological space; compact space | |||
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|- | |- | ||
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| final topology, coinduced topology || set <mathematical logic>; topological space | |||
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|- | |- | ||
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| homotopy || continuous function <mathematical analysis> | |||
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|- | |- | ||
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| neighborhood || | |||
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|- | |- | ||
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| open set || set <mathematical logic>; metric <geometry> | |||
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|- | |- | ||
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| second-countable space || countable set <set theory> | |||
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|- | |- | ||
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| topological space || space <geometry> | |||
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ interval | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| interval || set; real number | |||
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|- | |- | ||
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| closed interval || interval | |||
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|- | |- | ||
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| half-open interval, half-closed interval || interval | |||
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|- | |- | ||
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| left-open right-closed interval || half-open interval | |||
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|- | |- | ||
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| left-closed right-open interval || half-open interval | |||
| || | | || | ||
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Line 253: | Line 244: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ topological space | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| topological space || | |||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
| || | | || | ||
| compact space || topological space; Euclidean space <geometry>; closed set; bounded set <mathematical analysis> | |||
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|- | |- | ||
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| connected space || topological space; union <mathematical logic>>; disjoint set <mathematical logic>; empty set <mathematical logic>; open set | |||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
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| separated space, Hausdorff space || disjoint set <mathematical logic>; neighbourhood | |||
| || | | || | ||
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|- | |- | ||
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| metric space || topological space; empty set <mathematical logic>; metric <geometry> | |||
| || | | || | ||
| || | | || | ||
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|- | |- | ||
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| uniform space || topological space; uniform property | |||
| || | | || | ||
| || | | || | ||
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=== Algebraic Topology === | === Algebraic Topology === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 356: | Line 347: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| simplicial complex || set <mathematical logic>; simplex <geometry> | |||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
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| spectrum || cohomology; Brown's representability theorem | |||
| || | | || | ||
| || | | || | ||
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=== Differential Topology === | === Differential Topology === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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=== Geometric Topology === | === Geometric Topology === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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=== Sentence === | === Sentence === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 语句 !! cmn-Hans-CN: 前提 | |||
! cmn-Hans-CN: | ! cmn-Latn.Pinyin-CN: yǔjù !! cmn-Latn.Pinyin-CN: qiántí | ||
! cmn-Latn.Pinyin-CN: | ! deu-Latn-DE: Satz [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! deu-Latn-DE: | ! eng-Latn-US: sentence !! eng-Latn-US: prerequisite | ||
! fra-Latn-FR: | ! fra-Latn-FR: phrase [f] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: | ! jpn-Jpan-JP: 文章 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: | ! jpn-Hrkt-JP: ぶ↑んしょ↓う !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: | ! rus-Cyrl-RU: фра́за !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! symbol | ! symbol | ||
! cmn-Hans-CN: 概念 | ! cmn-Hans-CN: 概念 | ||
! cmn-Latn.Pinyin-CN: gàiniàn | ! cmn-Latn.Pinyin-CN: gàiniàn | ||
! deu-Latn-DE: Begriff [m] | ! deu-Latn-DE: Begriff [m] | ||
! eng-Latn-US: concept | |||
! fra-Latn-FR: concept [m] | ! fra-Latn-FR: concept [m] | ||
! jpn-Hrkt-JP: が↓いねん | ! jpn-Hrkt-JP: が↓いねん | ||
Line 501: | Line 492: | ||
=== Process === | === Process === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ||
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | ! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | ||
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | ! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | ||
! eng-Latn-US: process !! eng-Latn-US: constituent | |||
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | ! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | ||
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい | ! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい |
Revision as of 08:19, 26 March 2022
Hello polyglots, 😀
On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
general topology | |||||||||||||||
algebraic topology | |||||||||||||||
differential topology | |||||||||||||||
geometric topology | |||||||||||||||
Main
General Topology
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
closed set | complement <mathematical logic>; open set | ||||||||||||||
compactly generated space | topological space; compact space | ||||||||||||||
final topology, coinduced topology | set <mathematical logic>; topological space | ||||||||||||||
homotopy | continuous function <mathematical analysis> | ||||||||||||||
neighborhood | |||||||||||||||
open set | set <mathematical logic>; metric <geometry> | ||||||||||||||
second-countable space | countable set <set theory> | ||||||||||||||
topological space | space <geometry> | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка | interval | set; real number | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
closed interval | interval | ||||||||||||||||||||||||||||||
half-open interval, half-closed interval | interval | ||||||||||||||||||||||||||||||
left-open right-closed interval | half-open interval | ||||||||||||||||||||||||||||||
left-closed right-open interval | half-open interval | ||||||||||||||||||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
topological space | |||||||||||||||
compact space | topological space; Euclidean space <geometry>; closed set; bounded set <mathematical analysis> | ||||||||||||||
connected space | topological space; union <mathematical logic>>; disjoint set <mathematical logic>; empty set <mathematical logic>; open set | ||||||||||||||
separated space, Hausdorff space | disjoint set <mathematical logic>; neighbourhood | ||||||||||||||
metric space | topological space; empty set <mathematical logic>; metric <geometry> | ||||||||||||||
uniform space | topological space; uniform property | ||||||||||||||
Algebraic Topology
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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simplicial complex | set <mathematical logic>; simplex <geometry> | ||||||||||||||
spectrum | cohomology; Brown's representability theorem |
Differential Topology
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Geometric Topology
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Appendix
Sentence
cmn-Hans-CN: 语句 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: yǔjù | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Satz [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: sentence | eng-Latn-US: prerequisite | fra-Latn-FR: phrase [f] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 文章 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: ぶ↑んしょ↓う | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: фра́за | rus-Cyrl-RU: предпосы́лка |
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Symbol
symbol | cmn-Hans-CN: 概念 | cmn-Latn.Pinyin-CN: gàiniàn | deu-Latn-DE: Begriff [m] | eng-Latn-US: concept | fra-Latn-FR: concept [m] | jpn-Hrkt-JP: が↓いねん | jpn-Jpan-JP: 概念 | rus-Cyrl-RU: конце́пция |
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Process
cmn-Hans-CN: 过程 | cmn-Hans-CN: 构件 | cmn-Latn.Pinyin-CN: guòchéng | cmn-Latn.Pinyin-CN: gòujiàn | deu-Latn-DE: Prozess [m] | deu-Latn-DE: Bestandteil [m] | eng-Latn-US: process | eng-Latn-US: constituent | fra-Latn-FR: procès [m] | fra-Latn-FR: composant [m] | jpn-Hrkt-JP: か↑てい | jpn-Hrkt-JP: こ↑うざい | jpn-Jpan-JP: 過程 | jpn-Jpan-JP: 構材 | rus-Cyrl-RU: проце́сс | rus-Cyrl-RU: соста́вная часть |
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Resource under a Public License
name | language | link |
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