Hyperconnected space
id:
hyperconnected-space-271-9976371
title:
Hyperconnected space
text:
In the mathematical field of topology, a hyperconnected space or irreducible space is a topological space X that cannot be written as the union of two proper closed subsets. The name irreducible space is preferred in algebraic geometry. For a topological space X the following conditions are equivalent: No two nonempty open sets are disjoint.
X cannot be written as the union of two proper closed subsets.
Every nonempty open set is dense in X.
The interior of every proper closed subset of X is emp
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hyperconnected_space
date created:
date modified:
2024-02-07T04:26:52Z
main entity:
{"identifier":"Q1673182","url":"https://www.wikidata.org/entity/Q1673182"}
image:
fields total:
13
integrity:
13