Bornological space | Wikipedia audio article
Channel: wikipedia tts
Date: 27/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Bornological_space


00:00:32 1 Bornological sets
00:01:47 1.1 Examples
00:02:46 2 Bounded maps
00:04:17 3 Vector bornologies
00:05:24 3.1 Bornology of a topological vector space
00:06:07 3.2 Induced topology
00:06:35 4 Bornological spaces
00:09:03 4.1 Examples
00:09:47 4.2 Properties
00:11:52 5 Banach disks
00:13:47 5.1 Properties
00:14:11 5.2 Examples
00:16:01 6 Ultrabornological spaces
00:17:07 6.1 Properties
00:17:26 7 See also



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SUMMARY
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In mathematics, particularly in functional analysis, a bornological space is a type of space which, in some sense, possesses the minimum amount of structure needed to address questions of boundedness of sets and functions, in the same way that a topological space possesses the minimum amount of structure needed to address questions of continuity. Bornological spaces were first studied by Mackey. The name was coined by Bourbaki after borné, the French word for "bounded".