# 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, a 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...
- 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...
- generally, one defines open sets as the members of a given collection of subsets of a given set, a collection that has the property of containing every...
- 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:...
- In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if every point x in X either belongs to A or is...
- 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...
- ∅ . {\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...
- a subset with k elements is called a k-subset. For example, the set {5,6,7} is a 3-set – a finite set with three elements – and {6,7} is a 2-subset of...
- 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}...
- general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (containing all its limit points) and bounded...