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compactly generated space

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  • Compactly 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:… …   Wikipedia

  • Compactly 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 …   Wikipedia

  • Weak 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 …   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

  • K-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 …   Wikipedia

  • Locally 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… …   Wikipedia

  • First-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… …   Wikipedia

  • Eilenberg-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… …   Wikipedia

  • Boundedly 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) …   Wikipedia

  • Vector 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… …   Wikipedia

  • Minkowski space — A diagram of Minkowski space, showing only two of the three spacelike dimensions. For spacetime graphics, see Minkowski diagram. In physics and mathematics, Minkowski space or Minkowski spacetime (named after the mathematician Hermann Minkowski)… …   Wikipedia

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