Difference between revisions of "Space (mathematics)"
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== See also == | == 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]] | * [[Mathematics]] | ||
| + | * [[Measure space]] | ||
| + | * [[Metric space]] | ||
| + | * [[Minkowski space]] | ||
| + | * [[Normed vector space]] | ||
| + | * [[Polish space]] | ||
| + | * [[Quotient space]] | ||
* [[Set (mathematics)]] | * [[Set (mathematics)]] | ||
| − | * [[ | + | * [[Transport of structure]] |
| + | * [[Sobolev space]] | ||
| + | * [[Symplectic space]] | ||
| + | * [[Topological space]] | ||
| + | * [[Uniform space]] | ||
* [[Universe (mathematics)]] | * [[Universe (mathematics)]] | ||
| + | * [[Vector space]] | ||
== External links == | == External links == | ||
Revision as of 15:52, 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
- Quotient space
- Set (mathematics)
- Transport of structure
- Sobolev space
- Symplectic space
- Topological space
- Uniform space
- Universe (mathematics)
- Vector space
External links
- Space (mathematics) @ Wikipedia
