Totally disconnected space
id:
totally-disconnected-space-305-8676318
title:
Totally disconnected space
text:
In topology and related branches of mathematics, a totally disconnected space is a topological space that has only singletons as connected subsets. In every topological space, the singletons are connected; in a totally disconnected space, these are the only connected subsets. An important example of a totally disconnected space is the Cantor set, which is homeomorphic to the set of p-adic integers. Another example, playing a key role in algebraic number theory, is the field Qp of p-adic numbers.
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space that is maximally disconnected
original url:
https://en.wikipedia.org/wiki/Totally_disconnected_space
date created:
date modified:
2024-04-17T15:18:38Z
main entity:
{"identifier":"Q1544261","url":"https://www.wikidata.org/entity/Q1544261"}
image:
fields total:
13
integrity:
14