In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be...
11 KB (1,631 words) - 08:10, 28 April 2024
functional analysis, a subset T {\displaystyle T} of a topological vector space X {\displaystyle X} is said to be a total subset of X {\displaystyle X}...
1 KB (146 words) - 18:51, 12 August 2023
Precompact set (redirect from Pre-compact subset)
Relatively compact subspace, a subset whose closure is compact Totally bounded set, a subset that can be covered by finitely many subsets of fixed size This disambiguation...
213 bytes (62 words) - 19:45, 29 December 2019
Open set (redirect from Open subset)
in the choice of open sets. For example, every subset can be open (the discrete topology), or no subset can be open except the space itself and the empty...
27 KB (4,355 words) - 22:58, 20 July 2024
An agreeable subset is a subset of items that is considered, by all people in a certain group, to be at least as good as its complement. Finding a small...
11 KB (1,621 words) - 06:11, 21 February 2024
The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers...
25 KB (3,783 words) - 14:10, 26 June 2024
Multiplicatively closed set (redirect from Multiplicative subset)
abstract algebra, a multiplicatively closed set (or multiplicative set) is a subset S of a ring R such that the following two conditions hold: 1 ∈ S {\displaystyle...
3 KB (345 words) - 17:56, 26 April 2024
Closed set (redirect from Closed subset)
operation. This should not be confused with a closed manifold. By definition, a subset A {\displaystyle A} of a topological space ( X , τ ) {\displaystyle (X,\tau...
11 KB (1,952 words) - 03:13, 26 December 2023
Meagre set (redirect from Residual subset)
definitions of other related terms. The meagre subsets of a fixed space form a σ-ideal of subsets; that is, any subset of a meagre set is meagre, and the union...
18 KB (2,938 words) - 06:38, 2 July 2024
Dense set (redirect from Dense subset)
In topology and related areas of mathematics, a subset A of a topological space X is said to be dense in X if every point of X either belongs to A or else...
12 KB (1,911 words) - 13:33, 2 May 2024