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1 счетно паракомпактное пространство
Русско-английский научно-технический словарь Масловского > счетно паракомпактное пространство
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2 счётно паракомпактное пространство
Mathematics: countably paracompact spaceУниверсальный русско-английский словарь > счётно паракомпактное пространство
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Paracompact space — In mathematics, a paracompact space is a topological space in which every open cover admits a locally finite open refinement. Paracompact spaces are sometimes also required to be Hausdorff. Paracompact spaces were introduced by Dieudonné (1944).… … Wikipedia
Dowker space — A Dowker space is a topological space that is T4 but not countably paracompact. Equivalences If X is a normal T1 space (a T4 space), then the following are equivalent: X is a Dowker space The product of X with the unit interval is not normal. C.… … Wikipedia
Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… … Wikipedia
Metacompact space — In mathematics, in the field of general topology, a topological space is said to be metacompact if every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again… … Wikipedia
Shrinking space — In mathematics, in the field of topology, a topological space is said to be a shrinking space if every open cover admits a shrinking. A shrinking of an open cover is another open cover indexed by the same indexing set, with the property that the… … Wikipedia
Orthocompact space — In mathematics, in the field of general topology, a topological space is said to be orthocompact if every open cover has an interior preserving open refinement. That is, given an open cover of the topological space, there is a refinement which is … Wikipedia
Pseudocompact space — In mathematics, in the field of topology, a topological space is said to be pseudocompact if its image under any continuous function to R is bounded.Conditions for pseudocompactness*Every countably compact space is pseudocompact. For normal… … Wikipedia
Baire space — In mathematics, a Baire space is a topological space which, intuitively speaking, is very large and has enough points for certain limit processes. It is named in honor of René Louis Baire who introduced the concept. Motivation In an arbitrary… … Wikipedia
Lindelöf space — In mathematics, a Lindelöf space is a topological space in which every open cover has a countable subcover. A Lindelöf space is a weakening of the more commonly used notion of compactness , which requires the existence of a finite subcover.A… … Wikipedia
Morita conjectures — The Morita conjectures in general topology are certain problems about normal spaces, now solved in the affirmative. They asked If X × Y is normal for every normal space Y, is X discrete? If X × Y is normal for every normal P space Y, is X… … Wikipedia
Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … Wikipedia