English Explanatory Dictionary

topological space

English dictionary entry

Meanings

noun
  1. An ordered pair (X, τ), where X is a set and τ, called the topology, is a collection of subsets of X which satisfies certain axioms and whose elements are called the open sets (or alternatively, for a different set of axioms, the closed sets);
  2. An ordered pair (X, τ), where X is a set and τ, called the topology, is a collection of subsets of X which satisfies certain axioms and whose elements are called the open sets (or alternatively, for a different set of axioms, the closed sets); (loosely) the set X.
  3. the set X.

Pronunciation

LL-Q1860 (eng)-Vealhurl-topological space.wav

Word forms

topological space topological spaces

Translations

Afrikaans: topologiese ruimte Chinese Mandarin: 拓扑空间 Danish: topologisk rum Finnish: topologinen avaruus French: espace topologique Galician: espazo tipolóxico German: topologischer Raum Greek: τοπολογικός χώρος Hebrew: מרחב טופולוגי Icelandic: grannrúm Italian: spazio topologico Japanese: 位相空間 Polish: przestrzeń topologiczna Portuguese: espaço topológico Romanian: spațiu topologic Russian: топологи́ческое простра́нство Spanish: espacio topológico Swedish: topologiskt rum
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