Space (mathematics)
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This article is about mathematical sets called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation).
In mathematics, a space is a set with some added structure.
Mathematical spaces often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. For instance, all inner product spaces are also normed vector spaces, because the inner product induces a norm on the inner product space such that:
[edit] See also
- Affine space
- Banach space
- Cauchy space
- Euclidean space
- Function space
- Hardy space
- Hilbert space
- Inner product space
- Kolmogorov space
- Lp space
- Measure space
- Metric space
- Minkowski space
- Normed vector space
- Polish space
- Quotient space
- Sobolev space
- Topological space
- Uniform space
- Vector space
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