complete accumulation point
1Point (geometry) — In geometry, topology and related branches of mathematics a spatial point describes a specific point within a given space that consists of neither volume, area, length, nor any other higher dimensional analogue. Thus, a point is a 0 dimensional… …
2Limit point — In mathematics, a limit point (or accumulation point) of a set S in a topological space X is a point x in X that can be approximated by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point …
3Point system (driving) — A demerit point system is one in which a driver s licensing authority, police force, or other organization issues cumulative demerits, or points to drivers on conviction for road traffic offenses. Points may either be added or subtracted,… …
4Accumulation of degrees — Degree De*gree , n. [F. degr[ e], OF. degret, fr. LL. degradare. See {Degrade}.] 1. A step, stair, or staircase. [Obs.] [1913 Webster] By ladders, or else by degree. Rom. of R. [1913 Webster] 2. One of a series of progressive steps upward or… …
5Particular 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… …
6Compact 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… …
7Tychonoff's theorem — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… …
8Heine–Borel theorem — In the topology of metric spaces the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states:For a subset S of Euclidean space R n , the following two statements are equivalent: * S is closed and bounded *every open cover of S has a …
9Glossary 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… …
10Cantor 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… …
