compactly generated space

  • 1Compactly generated space — In topology, a compactly generated space (or k space) is a topological space whose topology is coherent with the family of all compact subspaces. Specifically, a topological space X is compactly generated if it satisfies the following condition:… …

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  • 2Compactly generated — In mathematics, compactly generated can refer to: compactly generated group compactly generated space This disambiguation page lists articles associated with the same title. If an internal link …

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  • 3Weak Hausdorff space — In mathematics, a weak Hausdorff space is a topological space where the image of every continuous map from a compact Hausdorff space into the space is closed. [cite web |url=http://neil strickland.staff.shef.ac.uk/courses/homotopy/cgwh.pdf |title …

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  • 4Compact 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… …

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  • 5K-space — can refer to:*Another name for the Frequency domain *Reciprocal lattice *K space in Magnetic Resonance Imaging *In topology, a k space is another name for a compactly generated space …

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  • 6Locally compact space — In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.Formal definitionLet X be a topological space. The… …

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  • 7First-countable space — In topology, a branch of mathematics, a first countable space is a topological space satisfying the first axiom of countability . Specifically, a space, X , is said to be first countable if each point has a countable neighbourhood basis (local… …

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  • 8Eilenberg-MacLane space — In mathematics, an Eilenberg MacLane space is a special kind of topological space that can be regarded as a building block for homotopy theory. These spaces are important in many contexts in algebraic topology, including stage by stage… …

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  • 9Boundedly generated group — In mathematics, a group is called boundedly generated if it can be expressed as a finite product of cyclic subgroups. The property of bounded generation is also closely related with the congruence subgroup problem (see harvnb|Lubotzky|Segal|2003) …

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  • 10Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …

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