Closed space | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-02-18

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Closed_manifold


00:00:40 1 Examples
00:01:16 2 Properties
00:01:41 3 Contrasting terms
00:02:54 4 Use in physics



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Speaking Rate: 0.8314141964926408
Voice name: en-GB-Wavenet-A


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SUMMARY
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In mathematics, a closed manifold is a type of topological space, namely a compact manifold without boundary.  In contexts where no boundary is possible, any compact manifold is a closed manifold.
Compact manifolds are, in an intuitive sense, "finite".  By the basic properties of compactness, a closed manifold is the disjoint union of a finite number of connected closed manifolds. One of the most basic objectives of geometric topology is to understand what the supply of possible closed manifolds is.