totally disconnected
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Totally disconnected space — In topology and related branches of mathematics, a totally disconnected space is a topological space which is maximally disconnected, in the sense that it has no non trivial connected subsets. In every topological space the empty set and the one… … Wikipedia
Totally disconnected group — In mathematics, a totally disconnected group is a topological group that is totally disconnected. Such topological groups are necessarily Hausdorff.Interest centres on locally compact totally disconnected groups. The compact case has been heavily … Wikipedia
Extremally disconnected space — In mathematics, a topological space is termed extremally disconnected or extremely disconnected if the closure of every open set in it is open. (The term extremally disconnected is usual, even though the word extremally does not appear in most… … 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
Dispersion point — In topology, a dispersion point or explosion point is a point in a topological space the removal of which leaves the space highly disconnected. More specifically, if X is a connected topological space containing the point p and at least two other … Wikipedia
Locally connected space — In this topological space, V is a neighbourhood of p and it contains a connected neighbourhood (the dark green disk) that contains p. In topology and other branches of mathematics, a topological space X is locally connected if every point admits… … 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
Connectedness — This article is about mathematics. For other uses, see Connectedness (disambiguation). In mathematics, connectedness is used to refer to various properties meaning, in some sense, all one piece . When a mathematical object has such a property, we … Wikipedia
Cantor set — In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 [Georg Cantor (1883) Über unendliche, lineare Punktmannigfaltigkeiten V [On infinite, linear point manifolds (sets)] , Mathematische Annalen , vol. 21, pages… … Wikipedia
List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie … Wikipedia
