Difference between revisions of "Language/Multiple-languages/Vocabulary/Topology"
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{{Sci-Tech-Index-Intro}} | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 科目 | |||
! cmn-Latn.Pinyin-CN: kēmù | |||
! cmn-Latn.Pinyin-CN: | ! deu-Latn-DE: Fach [n] | ||
! deu-Latn-DE: | ! eng-Latn-US: subject | ||
! fra-Latn-FR: | ! fra-Latn-FR: matière [f] | ||
! jpn-Jpan-JP: | ! jpn-Jpan-JP: 科目 | ||
! jpn-Hrkt-JP: | ! jpn-Hrkt-JP: か↑もく | ||
! rus-Cyrl-RU: | ! rus-Cyrl-RU: предме́т | ||
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| general topology | |||
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| algebraic topology | |||
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| differential topology | |||
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| | | 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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| connected set || connected space | |||
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| final topology, coinduced topology || set <mathematical logic>; topological space | |||
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| homotopy || continuous function <mathematical analysis> | |||
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| open set || set <mathematical logic>; metric <geometry> | |||
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| second-countable space || countable set <set theory> | |||
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| topological space || space <geometry> | | 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 | ||
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| interval || set; real number | |||
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| closed interval || interval | |||
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| half-open interval, half-closed interval || interval | |||
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| left-open right-closed interval || half-open interval | |||
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| left-closed right-open interval || half-open interval | |||
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|} | |} | ||
{| 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 | ||
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|- | |- | ||
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| topological space || | |||
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| compact space || topological space; Euclidean space <geometry>; closed set; bounded set <mathematical analysis> | |||
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| compactly generated space || topological space; compact space | |||
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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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| separated space, Hausdorff space || topological space; disjoint set <mathematical logic>; neighborhood | |||
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| locally connected space || topological space; neighborhood system; open set; connected set | |||
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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 == | ||
{| 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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| simplicial complex || set <mathematical logic>; simplex <geometry> | |||
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|- | |||
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| spectrum || cohomology; Brown's representability theorem | |||
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|} | |} | ||
== 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 == | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! cmn-Hans-CN: | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! cmn-Latn.Pinyin-CN: gàiniàn | ! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ||
! deu-Latn-DE: Begriff [m] | ! 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 | |||
! eng-Latn-US: | |||
! fra-Latn-FR: | |||
! jpn- | |||
! jpn- | |||
! rus-Cyrl-RU: | |||
|- | |- | ||
| || | | || | ||
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|} | |} | ||
<center> | |||
https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/Koenigsberger_bruecken_graph.svg/259px-Koenigsberger_bruecken_graph.svg.png | |||
</center> | |||
{{Sci-Tech-Index-Menu}} | {{Sci-Tech-Index-Menu}} | ||
==Other Lessons== | |||
* [[Language/Multiple-languages/Vocabulary/False-Friends|False Friends]] | |||
* [[Language/Multiple-languages/Vocabulary/Similarities-between-Italian-and-Spanish|Similarities between Italian and Spanish]] | |||
* [[Language/Multiple-languages/Vocabulary/Days-of-the-week-and-Months-of-the-year|Days of the week and Months of the year]] | |||
* [[Language/Multiple-languages/Vocabulary/Chaos-Theory|Chaos Theory]] | |||
* [[Language/Multiple-languages/Vocabulary/Metaphysics|Metaphysics]] | |||
* [[Language/Multiple-languages/Vocabulary/Metallurgy|Metallurgy]] | |||
* [[Language/Multiple-languages/Vocabulary/Animals-in-many-languages|Animals in many languages]] | |||
* [[Language/Multiple-languages/Vocabulary/Beach-in-Many-Languages|Beach in Many Languages]] | |||
* [[Language/Multiple-languages/Vocabulary/Numerals|Numerals]] | |||
* [[Language/Multiple-languages/Vocabulary/I-love-you-in-all-languages|I love you in all languages]] | |||
* [[Language/Multiple-languages/Vocabulary/Greetings-Welcome-greeting|Greetings Welcome greeting]] | |||
* [[Language/Multiple-languages/Vocabulary/Animal-Words-with-Details|Animal Words with Details]] | |||
* [[Language/Multiple-languages/Vocabulary/Structural-Analysis|Structural Analysis]] | |||
* [[Language/Multiple-languages/Vocabulary/Greetings-Nighttime-greeting|Greetings Nighttime greeting]] | |||
* [[Language/Multiple-languages/Vocabulary/Algebra|Algebra]] | |||
<span links></span> |
Latest revision as of 19:28, 27 March 2023
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: 科目 | cmn-Latn.Pinyin-CN: kēmù | deu-Latn-DE: Fach [n] | eng-Latn-US: subject | fra-Latn-FR: matière [f] | jpn-Jpan-JP: 科目 | jpn-Hrkt-JP: か↑もく | rus-Cyrl-RU: предме́т |
---|---|---|---|---|---|---|---|
general topology | |||||||
algebraic topology | |||||||
differential topology | |||||||
geometric topology | |||||||
General Topology[edit | edit source]
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 | ||||||||||||||
connected set | connected 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> | ||||||||||||||
compactly generated space | topological space; compact space | ||||||||||||||
connected space | topological space; union <mathematical logic>; disjoint set <mathematical logic>; empty set <mathematical logic>; open set | ||||||||||||||
separated space, Hausdorff space | topological space; disjoint set <mathematical logic>; neighborhood | ||||||||||||||
locally connected space | topological space; neighborhood system; open set; connected set | ||||||||||||||
metric space | topological space; empty set <mathematical logic>; metric <geometry> | ||||||||||||||
uniform space | topological space; uniform property | ||||||||||||||
Algebraic Topology[edit | edit source]
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
simplicial complex | set <mathematical logic>; simplex <geometry> | ||||||||||||||
spectrum | cohomology; Brown's representability theorem |
Differential Topology[edit | edit source]
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Geometric Topology[edit | edit source]
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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Other Lessons[edit | edit source]
- False Friends
- Similarities between Italian and Spanish
- Days of the week and Months of the year
- Chaos Theory
- Metaphysics
- Metallurgy
- Animals in many languages
- Beach in Many Languages
- Numerals
- I love you in all languages
- Greetings Welcome greeting
- Animal Words with Details
- Structural Analysis
- Greetings Nighttime greeting
- Algebra