- compact Hausdorff space
- Математика: бикомпакт
Универсальный англо-русский словарь. Академик.ру. 2011.
compact Hausdorff space
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Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… … Wikipedia
Hausdorff space — In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space … 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
Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) … Wikipedia
Hausdorff — may refer to:* A Hausdorff space, when used as an adjective, as in the real line is Hausdorff. * Felix Hausdorff, the German mathematician that Hausdorff spaces are named after. * Hausdorff dimension, a measure theoretic concept of dimension. *… … Wikipedia
Compact-open topology — In mathematics, the compact open topology is a topology defined on the set of continuous maps between two topological spaces. The compact open topology is one of the commonly used topologies on function spaces, and is applied in homotopy theory… … Wikipedia
Compact quantum group — In mathematics, a compact quantum group is an abstract structure on a unital separable C* algebra axiomatized from those that exist on the commutative C* algebra of continuous complex valued functions on a compact quantum group. The basic… … Wikipedia
Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… … Wikipedia
Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… … Wikipedia
space — 1. noun /speɪs/ a) The intervening contents of a volume. If it be only a Single Letter or two that drops, he thruſts the end of his Bodkin between every Letter of that Word, till he comes to a Space: and then perhaps by forcing thoſe Letters… … Wiktionary
