proper topology

  • 11Excluded point topology — In mathematics, the excluded point topology is a topological structure where exclusion of a particular point defines openness. Let X be any set and pin X. A proper subset of X is open if and only if it does not contain p . There are a variety of… …

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  • 12Interior (topology) — The point x is an interior point of S, since it is contained within S together with an open ball around it. The point y is on the boundary of S. In mathematics, specifically in topology, the interior of a set S of points of a topological space… …

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  • 13End (topology) — In topology, a branch of mathematics, an end of a topological space is a point in a certain kind of compactification of the space. But also as a way to approach infinity within the space.The definitionLet X be a non compact topological space.… …

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  • 14Continuum (topology) — In the mathematical field of point set topology, a continuum (pl continua) is a nonempty compact connected metric space, or less frequently, a compact connected Hausdorff topological space. Continuum theory is the branch of topology devoted to… …

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  • 15mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …

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  • 16Filter (mathematics) — The powerset algebra of the set {1,2,3,4} with the upset colored green. The green elements make a principal ultrafilter on the lattice. In mathematics, a filter is a special subset of a partially ordered set. A frequently used special case is the …

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  • 17Morse–Kelley set theory — In the foundation of mathematics, Morse–Kelley set theory (MK) or Kelley–Morse set theory (KM) is a first order axiomatic set theory that is closely related to von Neumann–Bernays–Gödel set theory (NBG). While von Neumann–Bernays–Gödel set theory …

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  • 18Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …

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  • 19Ordinal number — This article is about the mathematical concept. For number words denoting a position in a sequence ( first , second , third , etc.), see Ordinal number (linguistics). Representation of the ordinal numbers up to ωω. Each turn of the spiral… …

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  • 20List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …

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