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English
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Russian
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English
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Russian
Paracompact
UK
/ˌpærəˈkəm.pækt/
US
/ˌpɛrəˈkɑm.pækt/
Translation paracompact into russian
paracompact
Adjective
UK
/ˌpærəˈkəm.pækt/
US
/ˌpɛrəˈkɑm.pækt/
A paracompact space is a topological space in which every open cover has an open locally finite refinement.
Паракомпактное пространство — это топологическое пространство, в котором каждое открытое покрытие имеет открытое локально конечное уточнение.
Definitions
paracompact
Adjective
UK
/ˌpærəˈkəm.pækt/
US
/ˌpɛrəˈkɑm.pækt/
In mathematics, particularly in topology, a space is paracompact if every open cover has an open locally finite refinement.
The mathematician explained that the space was paracompact, ensuring that every open cover could be refined to a locally finite one.