topological space
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topological space
noun topological spaces
- An ordered pair (X, τ), where X is a set and τ, called the topology, is a collection of subsets of X which satisfies certain axioms and whose elements are called the open sets (or alternatively, for a different set of axioms, the closed sets); In order to obtain "intuitive insight" into special classes of topological spaces we can proceed in several ways, only a few of which will be pursued in this chapter. For instance, we can seek to describe important topological spaces by means of enough of their properties to completely characterize
- the set X.
Translations
Every language
noun ordered pair of a set and its topology
| Español | espacio topológico |
|---|---|
| 日本語 | 位相空間 isō kūkan |
| 中文 | 拓扑空间 tuòpū kōngjiān |
| Português | espaço topológico |
| Français | espace topologique |
| Deutsch | topologischer Raum |
| Italiano | spazio topologico |
| Ελληνικά | τοπολογικός χώρος topologikós chóros |
| Română | spațiu topologic |
| Русский | топологи́ческое простра́нство topologíčeskoje prostránstvo |
| עברית | מרחב טופולוגי mercháv topológi |
noun set that has a topology
| 中文 | 拓扑空间 tuòpū kōngjiān |
|---|---|
| Italiano | spazio topologico |
| Ελληνικά | τοπολογικός χώρος topologikós chóros |
Talk about this word "topological space." Wiktionary, via Micwyn, micwyn.com/word/topological%20space. Accessed 6 Nov. 2026. topological space. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/topological%20space "topological space." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/topological%20space.Cite this
@misc{topological_space_2026,
title = {topological space},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/topological%20space},
urldate = {2026-11-06}
}
