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
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
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...
24 KB (3,705 words) - 09:17, 9 June 2024
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...
28 KB (4,574 words) - 13:12, 16 April 2024
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 (2,863 words) - 18:18, 10 January 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
Empty set (redirect from Empty subset)
∅ . {\displaystyle V=\varnothing .} By the definition of subset, the empty set is a subset of any set A. That is, every element x of ∅ {\displaystyle...
15 KB (2,181 words) - 10:50, 28 May 2024
Compact space (redirect from Compact subset)
a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space has no "punctures"...
45 KB (5,681 words) - 23:34, 2 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
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