Space (mathematics)/Related Articles: Difference between revisions
Jump to navigation
Jump to search
imported>Boris Tsirelson (→Subtopics: Uniform space) |
imported>Boris Tsirelson (→Subtopics: more) |
||
| Line 12: | Line 12: | ||
{{r|Normed space}} | {{r|Normed space}} | ||
{{r|Inner product space}} | {{r|Inner product space}} | ||
{{r|Banach space}} | |||
{{r|Hilbert space}} | |||
{{r|Manifold (geometry)}} | |||
{{r|Measurable space}} | {{r|Measurable space}} | ||
{{r|Measure space}} | {{r|Measure space}} | ||
Revision as of 15:04, 28 July 2009
- See also changes related to Space (mathematics), or pages that link to Space (mathematics) or to this page or whose text contains "Space (mathematics)".
Parent topics
- Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
Subtopics
- Topological space [r]: A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets. [e]
- Affine space [r]: Collection of points, none of which is special; an n-dimensional vector belongs to any pair of points. [e]
- Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors [e]
- Metric space [r]: Any topological space which has a metric defined on it. [e]
- Uniform space [r]: Topological space with additional structure which is used to define uniform properties such as completeness, uniform continuity and uniform convergence. [e]
- Normed space [r]: A vector space that is endowed with a norm. [e]
- Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. [e]
- Banach space [r]: A vector space endowed with a norm that is complete. [e]
- Hilbert space [r]: A complete inner product space. [e]
- Manifold (geometry) [r]: An abstract mathematical space. [e]
- Measurable space [r]: Set together with a sigma-algebra of subsets of this set. [e]
- Measure space [r]: Set together with a sigma-algebra of subsets of the set and a measure defined on this sigma-algebra. [e]