Quotient space (topology) | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-27

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Quotient_space_(topology)


00:00:35 1 Definition
00:03:05 2 Quotient map
00:04:27 3 Examples
00:05:03 4 Properties
00:05:13 5 Compatibility with other topological notions
00:07:13 6 See also
00:07:40 6.1 Topology
00:08:21 6.2 Algebra
00:09:29 7 References
00:10:54 See also
00:11:03 Topology
00:11:26 Algebra



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SUMMARY
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In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space. The points to be identified are specified by an equivalence relation. This is commonly done in order to construct new spaces from given ones. The quotient topology consists of all sets with an open preimage under the canonical projection map that maps each element to its equivalence class.