countability axiom
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axiom of countability — Math. the property satisfied by a topological space in which the neighborhood system of each point has a base consisting of a countable number of neighborhoods (first axiom of countability) or the property satisfied by a topological space that… … Universalium
axiom of countability — Math. the property satisfied by a topological space in which the neighborhood system of each point has a base consisting of a countable number of neighborhoods (first axiom of countability) or the property satisfied by a topological space that… … Useful english dictionary
Axiom of countability — In mathematics, an axiom of countability is a property of certain mathematical objects (usually in a category) that requires the existence of a countable set with certain properties, while without it such sets might not exist. Important… … Wikipedia
first axiom of countability — Math. See under axiom of countability. * * * … Universalium
second axiom of countability — Math. See under axiom of countability. * * * … Universalium
first axiom of countability — Math. See under axiom of countability … Useful english dictionary
second axiom of countability — Math. See under axiom of countability … Useful english dictionary
List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A … Wikipedia
General topology — In mathematics, general topology or point set topology is the branch of topology which studies properties of topological spaces and structures defined on them. It is distinct from other branches of topology in that the topological spaces may be… … Wikipedia
Net (mathematics) — This article is about nets in topological spaces and not about ε nets in other fields. In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence. In… … Wikipedia
Second-countable space — In topology, a second countable space, also called a completely separable space, is a topological space satisfying the second axiom of countability. A space is said to be second countable if its topology has a countable base. More explicitly,… … Wikipedia
