Acyclic space
id:
acyclic-space-238-14373009
title:
Acyclic space
text:
In mathematics, an acyclic space is a nonempty topological space X in which cycles are always boundaries, in the sense of homology theory. This implies that integral homology groups in all dimensions of X are isomorphic to the corresponding homology groups of a point. In other words, using the idea of reduced homology, It is common to consider such a space as a nonempty space without "holes"; for example, a circle or a sphere is not acyclic but a disc
or a ball is acyclic. This condition however
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Acyclic_space
date created:
date modified:
2023-08-18T11:04:45Z
main entity:
{"identifier":"Q4677988","url":"https://www.wikidata.org/entity/Q4677988"}
image:
fields total:
13
integrity:
13