Compact space
label: Kompakter Raum @de
label: Espazio trinko @eu
label: Compacte ruimte @nl
label: 콤팩트 공간 @ko
label: Компактний простір @uk
label: Spazio compatto @it
label: Compacité (mathématiques) @fr
label: Kompakta spaco @eo
label: Ruang kompak @in
label: Espacio compacto @es
label: Espai compacte @ca
label: Компактное пространство @ru
label: Przestrzeń zwarta @pl
label: コンパクト空間 @ja
label: Kompaktní množina @cs
label: Espaço compacto @pt
label: Kompakthet @sv
label: 紧空间 @zh
label: فضاء متراص @ar
label: Συμπαγής χώρος @el
urlname: examplesofcompactspaces
subject: Category:Properties of topological spaces
subject: Category:General topology
subject: Category:Topology
subject: Category:Compactness (mathematics)
id: C/c023530
description: топологическое пространство, в котором из каждого открытого покрытия можно выбрать конечное подпокрытие @ru
description: uno spazio topologico nel quale da ogni ricoprimento aperto dello spazio se ne puo' estrarre uno finito @it
description: Notion de topologie générale évaluant le caractère \fini\ d'un ensemble topologique @fr
description: espai topològic @ca
description: 位相空間の性質の一つ @ja
description: typ przestrzeni topologicznej @pl
description: מושג בטופולוגיה (מתמטיקה) @iw
description: espaço onde recobrimentos abertos têm subcobertura finita em teoria dos conjuntos @pt
description: Begriff der mathematischen Topologie @de
description: topological space in which from every open cover of the space, a finite cover can be extracted
description: 모든 열린 덮개가 유한 부분 덮개를 갖는 위상 공간 @ko
description: topologia spaco, tia ke ĉiu kovro da malfermitaj subaroj enhavas finian subkovron @eo
wiki page external link: https://archive.org/details/historyofmathema00boye
wiki page external link: https://link.springer.com/book/10.1007/978-3-540-33982-3
wiki page external link: https://books.google.com/books%3Fid=EoW4AAAAIAAJ&q=%22Rein%20analytischer%20Beweis%20des%20Lehrsatzes%22&pg=PA2-IA3
wiki page external link: https://archive.org/details/mathematicalthou00klin
wiki page external link: https://books.google.com/books%3Fid=VfUKAAAAYAAJ&q=%22Lebesgue%22%20%22Le%C3%A7ons%20sur%20l'int%C3%A9gration%20et%20la%20recherche%20des%20fonctions%20...%22&pg=PA1
wiki page external link: https://www.ams.org/tran/1966-124-01/S0002-9947-1966-0203679-7/S0002-9947-1966-0203679-7.pdf
wiki page external link: https://zenodo.org/record/1428464
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Karl_Weierstrass
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Profinite_group
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Eduard_Heine
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Axiom_of_countable_choice
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Relatively_compact_subspace
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Exhaustion_by_compact_sets
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Giulio_Ascoli
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Banach_space
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Irrational_number
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Cantor_set
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Zariski_topology
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Compactness_theorem
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Real_number
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Lebesgue's_number_lemma
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Complete_space
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Pavel_Urysohn
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Completely_regular_space
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Subspace_topology
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Galois_group
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Lebesgue_integral
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Henri_Lebesgue
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Maurice_René_Fréchet
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Discrete_metric
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Uniform_convergence
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Bounded_set
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Continuous_function
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Infinitesimal
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Compactly_generated_space
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Erhard_Schmidt
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Pseudocompact_space
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Arzelà–Ascoli_theorem
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Locally_compact
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Integral_equation