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: 科目
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: kēmù
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Fach [n]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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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== Main ==
== General Topology ==
=== General Topology ===
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! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
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| compactly generated space || topological space; compact space
| connected set || connected space
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| connected space || topological space; union <mathematical logic>>; disjoint set <mathematical logic>; empty set <mathematical logic>; open set
| 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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| separated space, Hausdorff space || disjoint set <mathematical logic>; neighbourhood
| locally connected space || topological space; neighborhood system; open set; connected set
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=== Algebraic Topology ===
== Algebraic Topology ==
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! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
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=== Differential Topology ===
== Differential Topology ==
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! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
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=== Geometric Topology ===
== Geometric Topology ==
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! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
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== Appendix ==
<center>
=== Sentence ===
https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/Koenigsberger_bruecken_graph.svg/259px-Koenigsberger_bruecken_graph.svg.png
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! 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 ===
{{Sci-Tech-Index-Menu}}
{| class="wikitable sortable"
! 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 ===
==Other Lessons==
{| class="wikitable sortable"
* [[Language/Multiple-languages/Vocabulary/False-Friends|False Friends]]
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
* [[Language/Multiple-languages/Vocabulary/Similarities-between-Italian-and-Spanish|Similarities between Italian and Spanish]]
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
* [[Language/Multiple-languages/Vocabulary/Days-of-the-week-and-Months-of-the-year|Days of the week and Months of the year]]
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
* [[Language/Multiple-languages/Vocabulary/Chaos-Theory|Chaos Theory]]
! eng-Latn-US: process !! eng-Latn-US: constituent
* [[Language/Multiple-languages/Vocabulary/Metaphysics|Metaphysics]]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
* [[Language/Multiple-languages/Vocabulary/Metallurgy|Metallurgy]]
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい
* [[Language/Multiple-languages/Vocabulary/Animals-in-many-languages|Animals in many languages]]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
* [[Language/Multiple-languages/Vocabulary/Beach-in-Many-Languages|Beach in Many Languages]]
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
* [[Language/Multiple-languages/Vocabulary/Numerals|Numerals]]
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* [[Language/Multiple-languages/Vocabulary/I-love-you-in-all-languages|I love you in all languages]]
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* [[Language/Multiple-languages/Vocabulary/Greetings-Welcome-greeting|Greetings Welcome greeting]]
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* [[Language/Multiple-languages/Vocabulary/Animal-Words-with-Details|Animal Words with Details]]
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* [[Language/Multiple-languages/Vocabulary/Structural-Analysis|Structural Analysis]]
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* [[Language/Multiple-languages/Vocabulary/Greetings-Nighttime-greeting|Greetings Nighttime greeting]]
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* [[Language/Multiple-languages/Vocabulary/Algebra|Algebra]]
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<span links></span>
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=== Resource under a Public License ===
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<center>[[File:Graph_konigsberg_with_degree.png|400px]]</center>
 
{{Sci-Tech-Index-Menu}}

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

259px-Koenigsberger_bruecken_graph.svg.png

Unmaintained! Moved to a Codeberg repository. Use Foam with VSCodium to visualise the content.

Sci–Tech Index

40px-3-4.svg.png Introduction

Philosophy

40px-1-4.svg.png Logic

40px-0-4.svg.png Metaphysics

Mathematics

40px-2-4.svg.png Mathematical Logic

40px-0-4.svg.png Category Theory


40px-2-4.svg.png Number Theory


40px-1-4.svg.png Algebra


40px-1-4.svg.png Geometry


40px-1-4.svg.png Probability Theory

40px-1-4.svg.png Statistics

40px-1-4.svg.png Information Theory


40px-1-4.svg.png Mathematical Analysis


40px-1-4.svg.png Topology

40px-1-4.svg.png Discrete Mathematics


40px-1-4.svg.png Computational Science

Physics

40px-1-4.svg.png Mechanics

└ 40px-1-4.svg.png Structural Analysis

└ 40px-1-4.svg.png Tribology

40px-1-4.svg.png Thermodynamics


40px-1-4.svg.png Optics


40px-1-4.svg.png Acoustics


40px-1-4.svg.png Electromagnetism

40px-1-4.svg.png Electronic Component


40px-0-4.svg.png Metrology

└ 40px-1-4.svg.png Unit of Measurement


40px-0-4.svg.png Particle Physics

Biology

40px-1-4.svg.png Cell Biology

Chemistry

40px-1-4.svg.png Chemical Element

40px-0-4.svg.png Material Science

└ 40px-0-4.svg.png Metallurgy

40px-0-4.svg.png Computer Science
40px-1-4.svg.png Technical Drawing
Mechanical Engineering

40px-0-4.svg.png Mechanism

40px-1-4.svg.png Machine Element

40px-1-4.svg.png Metalworking


40px-0-4.svg.png Hydraulics and Pneumatics


40px-1-4.svg.png Theory of Inventive Problem Solving

Software Engineering

40px-1-4.svg.png Computer Language

Systems Science

40px-0-4.svg.png Chaos Theory

40px-0-4.svg.png Cybernetics

└ 40px-0-4.svg.png Control Theory

40px-0-4.svg.png Robotics

40px-0-4.svg.png Anthropology

40px-0-4.svg.png Psychology
40px-0-4.svg.png Linguistics

Sci–Tech Index is under the CC BY 4.0 license

Other Lessons[edit | edit source]

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