separation axioms

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• History of the separation axioms — In general topology, the separation axioms have had a convoluted history, with many competing meanings for the same term, and many competing terms for the same concept. Origins Before the current general definition of topological space, there… …   Wikipedia

• Separation axiom — In topology and related fields of mathematics, there are several restrictions that one often makes on the kinds of topological spaces that one wishes to consider. Some of these restrictions are given by the separation axioms. These are sometimes… …   Wikipedia

• axioms of separation — separation, axiom of …   Philosophy dictionary

• Axiome de séparation (topologie) —  Ne pas confondre avec le schéma d axiomes de séparation de la théorie des ensembles. En topologie, un axiome de séparation est une propriété satisfaite par certains espaces topologiques, similaire à la propriété de séparation de Hausdorff… …   Wikipédia en Français

• List of axioms — This is a list of axioms as that term is understood in mathematics, by Wikipedia page. In epistemology, the word axiom is understood differently; see axiom and self evidence. Individual axioms are almost always part of a larger axiomatic… …   Wikipedia

• Peano axioms — In mathematical logic, the Peano axioms, also known as the Dedekind Peano axioms or the Peano postulates, are a set of axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used… …   Wikipedia

• Axiom schema of predicative separation — In axiomatic set theory, the axiom schema of predicative separation, or of restricted, or Delta;0 separation, is a schema of axioms which is a restriction of the usual axiom schema of separation in Zermelo Fraenkel set theory. It only asserts the …   Wikipedia

• Normal space — Separation Axioms in Topological Spaces Kolmogorov (T0) version T0 | T1 | T2 | T2½ | completely T2 T3 | T3½ | T4 | T5 | T6 In topology and related branches of mathematics, a no …   Wikipedia

• Completely Hausdorff space — Separation Axioms in Topological Spaces Kolmogorov (T0) version T0 | T1 | T2 | T2½ | completely T2 T3 | T3½ | T4 | T5 | T6 In topology, an Urysohn space, or T2½ spac …   Wikipedia

• Tychonoff space — Separation Axioms in Topological Spaces Kolmogorov (T0) version T0 | T1 | T2 | T2½ | completely T2 T3 | T3½ | T4 | T5 | T6 In topology and related branches of mathematic …   Wikipedia

• Axiom schema of specification — For the separation axioms in topology, see separation axiom. In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom schema of specification, axiom schema of separation, subset axiom scheme or… …   Wikipedia