topological space

English

Wikipedia

Noun

topological space (plural topological spaces)

1. (topology) A set, together with a collection of its subsets that form a topology on the set.
2. (loosely) The set itself.

Hyponyms

• Hausdorff space
• metric space
• normal space
• regular space

Meronyms

• topology
• open set

Translations

a set with its topology

• Afrikaans: topologiese ruimte (af)
• Danish: topologisk rum (da) n
• German: topologischer Raum (de) m
• Greek: τοπολογικός χώρος (el) (topologikós chóros) m 

• Hebrew: מרחב טופולוגי (he) (mercháv topológi) m
• Japanese: 位相空間 (ja) (いそうくうかん, isō)
• Romanian: spațiu topologic (ro) n
• Russian: топологическое пространство (ru) (topologíčeskoje prostránstvo) n 

a set that has a topology

• Danish: topologisk rum (da) n

• Greek: τοπολογικός χώρος (el) (topologikós chóros) m 

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.

Translations to be checked

• Serbo-Croatian: topološki prostor (sh) m
• Czech: topologický prostor (cs) m
• Danish: topologisk rum (da) n
• Finnish: topologinen avaruus (fi)

• French: espace topologique (fr) m
• Italian: spazio topologico (it) m
• Portuguese: espaço topológico (pt) m
• Spanish: espacio topológico (es) m