Ω-bounded space
id:
bounded-space-304-6388372
title:
Ω-bounded space
text:
In mathematics, an ω-bounded space is a topological space in which the closure of every countable subset is compact. More generally, if P is some property of subspaces, then a P-bounded space is one in which every subspace with property P has compact closure. Every compact space is ω-bounded, and every ω-bounded space is countably compact. The long line is ω-bounded but not compact. The bagpipe theorem describes the ω-bounded surfaces.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/%CE%A9-bounded_space
date created:
date modified:
2021-07-04T19:02:39Z
main entity:
{"identifier":"Q18385918","url":"https://www.wikidata.org/entity/Q18385918"}
image:
fields total:
13
integrity:
13