separated sets
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Separated sets — In topology and related branches of mathematics, separated sets are pairs of subsets of a given topological space that are related to each other in a certain way.The notion of when two sets are separated or not is important both to the notion of… … Wikipedia
Positively separated sets — In mathematics, two non empty subsets A and B of a given metric space ( X , d ) are said to be positively separated if the infimum:inf {a in A, b in B} d(a, b)is strictly positive. (Some authors also specify that A and B should be disjoint sets;… … Wikipedia
Separated — can refer to:*Legal separation of spouses * Separated (song) by Avant *Separated sets, a concept in mathematical topology *Separation of conjoined twins, a procedure that gives them allows them to live independently … Wikipedia
List of sets of four countries that border one another — This is a list of sets of at least four countries that border one another. According to four colour theorem, in geometric 2d space, no more than four continuous two dimensional shapes can all share one dimensional boundaries with each other.… … 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
Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … Wikipedia
Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected … 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
Topological property — In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space … Wikipedia
Particular point topology — In mathematics, the particular point topology (or included point topology) is a topology where sets are considered open if they are empty or contain a particular, arbitrarily chosen, point of the topological space. Formally, let X be any set and… … Wikipedia
List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… … Wikipedia
