Compactly supported homology
id:
compactly-supported-homology-249-6254770
title:
Compactly supported homology
text:
In mathematics, a homology theory in algebraic topology is compactly supported if, in every degree n, the relative homology group Hn(X, A) of every pair of spaces is naturally isomorphic to the direct limit of the nth relative homology groups of pairs (Y, B), where Y varies over compact subspaces of X and B varies over compact subspaces of A. Singular homology is compactly supported, since each singular chain is a finite sum of simplices, which are compactly supported. Strong homology is not com
brand slug:
wiki
category slug:
encyclopedia
description:
Homology Theory in Algebraic Topology is Compactly Supported
original url:
https://en.wikipedia.org/wiki/Compactly_supported_homology
date created:
date modified:
2023-05-24T04:10:17Z
main entity:
{"identifier":"Q5155335","url":"https://www.wikidata.org/entity/Q5155335"}
image:
fields total:
13
integrity:
14