# Definition of Subset. Meaning of Subset. Synonyms of Subset

Here you will find one or more explanations in English for the word Subset. Also in the bottom left of the page several parts of wikipedia pages related to the word Subset and, of course, Subset synonyms and on the right images related to the word Subset.

## Definition of Subset

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## Meaning of Subset from wikipedia

- In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a su****t of A. It is possible for A and B to be equal;...
- 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...
- 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...
- 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...
- 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...
- mean A is any subset of B (and not necessarily a proper subset), while others reserve A ⊂ B and B ⊃ A for cases where A is a proper subset of B. Examples:...
- ∅ . {\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...
- 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}...
- 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...
- (or relatively compact subset, or precompact subset) Y of a topological space X is a subset whose closure is compact. Every subset of a compact topological...