Difference between revisions of "Language/Multiple-languages/Vocabulary/Topology"

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[[Category:Sci–Tech_Index]]
{{Sci-Tech-Index-Intro}}
Hello polyglots, 😀
 
 
On this page you will find a part of the [https://polyglotclub.com/wiki/Language/Multiple-languages/Culture/Introduction-to-Sci%E2%80%93Tech-Index Sci–Tech Index], a project for science and technology learners.
 
In progress.


{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 科目
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: kēmù
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Fach [n]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: subject
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: matière [f]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 科目
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: か↑もく
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: предме́т
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== General Topology ==
== General Topology ==
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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 142: Line 86:
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| closed set || complement <mathematical logic>; open set
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| closed set || complement <mathematical logic>; open set
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| compactly generated space || topological space; compact space
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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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| final topology, coinduced topology || set <mathematical logic>; topological space
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Line 169: Line 113:
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| homotopy || continuous function <mathematical analysis>
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| homotopy || continuous function <mathematical analysis>
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| neighborhood ||
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| neighborhood ||
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| open set || set <mathematical logic>; metric <geometry>
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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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| second-countable space || countable set <set theory>
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| topological space || space <geometry>
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| topological space || space <geometry>
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{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|+ 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
| interval || set; real number
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| interval || set; real number
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| closed interval || interval
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| closed interval || interval
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| half-open interval, half-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-open right-closed interval || half-open interval
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| left-closed right-open interval || half-open interval
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Line 299: Line 243:


{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|+ 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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| topological space ||
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| compact space || topological space; Euclidean space <geometry>; closed set; bounded set <mathematical analysis>
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| compact space || topological space; Euclidean space <geometry>; closed set; bounded set <mathematical analysis>
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Line 336: Line 280:
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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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| compactly generated space || topological space; compact space
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| separated space, Hausdorff space || disjoint set <mathematical logic>; neighbourhood
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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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| metric space || topological space; empty set <mathematical logic>; metric <geometry>
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| separated space, Hausdorff space || topological space; disjoint set <mathematical logic>; neighborhood
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| uniform space || topological space; uniform property
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| locally connected space || topological space; neighborhood system; open set; connected set
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| metric space || topological space; empty set <mathematical logic>; metric <geometry>
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|}
== Algebraic Topology ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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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| uniform space || topological space; uniform property
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| simplicial complex || set <mathematical logic>; simplex <geometry>
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| spectrum || cohomology; Brown's representability theorem
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|}
|}


== Differential Topology ==
== Algebraic Topology ==
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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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| simplicial complex || set <mathematical logic>; simplex <geometry>
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| spectrum || cohomology; Brown's representability theorem
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|}
|}


== Geometric Topology ==
== Differential Topology ==
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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 481: Line 413:
|}
|}


[[File:Graph_konigsberg_with_degree.png|400px]]
== Geometric Topology ==
 
== * Appendix * ==
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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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|}
|}


=== Symbol ===
<center>
{| class="wikitable sortable"
https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/Koenigsberger_bruecken_graph.svg/259px-Koenigsberger_bruecken_graph.svg.png
! symbol
</center>
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! 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 ===
{{Sci-Tech-Index-Menu}}
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! 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]
! 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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=== Related Free Educational Resources ===
{| class="wikitable sortable"
! branch
! name
! link
! language
! public license
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{{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>
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 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
topological space
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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