subcover

subcover
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English-Finnish mathematical dictionary. 2011.

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  • subcover — noun A cover which is a subset of another cover. The open intervals cover the real numbers; the open intervals of the form (x, x+1) are a subcover …   Wiktionary

  • subcover — /sub kuv euhr/, n. Math. a set of subsets of a cover of a given set that also is a cover of the set. [SUB + COVER] * * * …   Universalium

  • subcover — /sub kuv euhr/, n. Math. a set of subsets of a cover of a given set that also is a cover of the set. [SUB + COVER] …   Useful english dictionary

  • Heine–Borel theorem — In the topology of metric spaces the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states:For a subset S of Euclidean space R n , the following two statements are equivalent: * S is closed and bounded *every open cover of S has a …   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

  • Subbase — In highway engineering, subbase is a layer between subgrade and the base course.In topology, a subbase (or subbasis) for a topological space X with topology T is a subcollection B of T which generates T , in the sense that T is the smallest… …   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

  • 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

  • Cover (topology) — In mathematics, a cover of a set X is a collection of sets whose union contains X as a subset. Formally, if is an indexed family of sets Uα, then C is a cover of X if Contents 1 Cover in t …   Wikipedia

  • Topological property — In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space …   Wikipedia

  • 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

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