Difference between revisions of "Space (mathematics)"
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* [[Normed vector space]] | * [[Normed vector space]] | ||
* [[Polish space]] | * [[Polish space]] | ||
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* [[Quotient space]] | * [[Quotient space]] | ||
* [[Set (mathematics)]] | * [[Set (mathematics)]] | ||
Revision as of 17:53, 4 April 2016
In mathematics, a space is a set (sometimes called a universe) with some added structure.
Description
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.
See also
- Affine space
- Algebraic space
- Baire space
- Banach space
- Cantor space
- Cauchy space
- Conformal space
- Complex analytic space
- Euclidean space
- Function space
- Hardy space
- Hausdorff space
- Hilbert space
- Inner product space
- Kolmogorov space
- Lp space
- Mathematical structure
- Mathematics
- Measure space
- Metric space
- Minkowski space
- Normed vector space
- Polish space
- Probability space
- Quotient space
- Set (mathematics)
- Set theory
- Transport of structure
- Sobolev space
- Symplectic space
- Topological space
- Uniform space
- Universe (mathematics)
- Vector space
External links
- Space (mathematics) @ Wikipedia
