Topological space/Related Articles: Difference between revisions
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imported>Richard Pinch (Parent: Topology; Subtopics: Neighbourhood) |
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{{r|Formal Title}} --> | {{r|Formal Title}} --> | ||
{{r|Topology}} | {{r|Topology}} | ||
{{r|Space (mathematics)}} | |||
==Subtopics== | ==Subtopics== | ||
<!-- List topics here that are included by this topic. --> | <!-- List topics here that are included by this topic. --> | ||
{{r|Closed set}} | |||
{{r|Neighbourhood}} | {{r|Neighbourhood}} | ||
{{r|Open set}} | |||
==Other related topics== | ==Other related topics== | ||
<!-- List topics here that are related to this topic, but neither wholly include it nor are wholly included by it. --> | <!-- List topics here that are related to this topic, but neither wholly include it nor are wholly included by it. --> | ||
{{r|Metric space}} | |||
{{r|Uniform space}} | |||
==Articles related by keyphrases (Bot populated)== | |||
{{r|Connected space}} | |||
Latest revision as of 16:00, 29 October 2024
- See also changes related to Topological space, or pages that link to Topological space or to this page or whose text contains "Topological space".
Parent topics
- Topology [r]: A branch of mathematics that studies the properties of objects that are preserved through continuous deformations (such as stretching, bending and compression). [e]
- Space (mathematics) [r]: A set with some added structure, which often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. [e]
Subtopics
- Closed set [r]: In geometry and topology, a set that contains its boundary; the complement of an open set. [e]
- Neighbourhood [r]: Add brief definition or description
- Open set [r]: In geometry and topology, a set that does not contain any of its boundary points. [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]
- Connected space [r]: A topological space in which there is no non-trivial subset which is both open and closed. [e]