General topology
In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The fundamental concepts in point-set topology are continuity, compactness, and connectedness:
academic discipline
0.999...A Guide to the Classification Theorem for Compact SurfacesAdolf LindenbaumAlex ChigogidzeAlexander ArhangelskiiAlexander GrothendieckAlexandrov topologyAnalytic spaceAndreu Mas-ColellAndré WeilAppert topologyAreas of mathematicsAxiomAxiom of choiceBaire category theoremBanach–Mazur gameBasic topologyBeatrice AitchisonBronisław KnasterCantor's intersection theoremCantor setCauchy spaceCecilia KriegerClassification of manifoldsClifford Hugh DowkerClosed graphClosed graph theoremClosed graph theorem (functional analysis)Closure operatorCompact spaceCompactification (mathematics)Complete Heyting algebraComposantComputable analysisConstructive set theoryContinuum (topology)ConvergenceConvergence spaceConvex Polytopes
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General topology
In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The fundamental concepts in point-set topology are continuity, compactness, and connectedness:
has abstract
Dalam matematika, topologi umu ...... , keutuhan, dan keterhubungan.
@in
En matemàtiques, la topologia ...... muns són també espais mètrics.
@ca
En matemáticas, la topología g ...... son también espacios métricos.
@es
In matematica, la topologia ge ...... strutture definite su di essi.
@it
In mathematics, general topolo ...... ical spaces are metric spaces.
@en
Matematikan, topologia orokorr ...... o asko espazio metrikoak dira.
@eu
Topologia geral é um ramo da m ...... contínuas entre tais espaços.
@pt
Στα μαθηματικά, η γενική τοπολ ...... χώρων είναι οι μετρικοί χώροι.
@el
Загальна топологія, або теорет ...... ікація топологічних просторів.
@uk
О́бщая тополо́гия, или теоре́т ...... дела» в наиболее общем смысле.
@ru
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Dalam matematika, topologi umu ...... , keutuhan, dan keterhubungan.
@in
En matemàtiques, la topologia ...... nuïtat, compacitat i connexió:
@ca
En matemáticas, la topología g ...... nuidad, compacidad y conexión:
@es
In matematica, la topologia ge ...... strutture definite su di essi.
@it
In mathematics, general topolo ...... ompactness, and connectedness:
@en
Matematikan, topologia orokorr ...... otasuna eta konexutasuna dira:
@eu
Topologia geral é um ramo da m ...... contínuas entre tais espaços.
@pt
Στα μαθηματικά, η γενική τοπολ ...... συμπάγεια και η συνεκτικότητα:
@el
Загальна топологія, або теорет ...... ву, П. С. Урисона, Л. Брауера.
@uk
О́бщая тополо́гия, или теоре́т ...... дела» в наиболее общем смысле.
@ru
label
General topology
@en
Mengentheoretische Topologie
@de
Topologi umum
@in
Topologia general
@ca
Topologia generale
@it
Topologia geral
@pt
Topologia orokor
@eu
Topología general
@es
Γενική τοπολογία
@el
Загальна топологія
@uk