Locally connected space

id: locally-connected-space-188-19122710
title: Locally connected space
text: In topology and other branches of mathematics, a topological space X is locally connected if every point admits a neighbourhood basis consisting of open connected sets. As a stronger notion, the space X is locally path connected if every point admits a neighbourhood basis consisting of open path connected sets.
brand slug: wiki
category slug: encyclopedia
description: Property of topological spaces
original url: https://en.wikipedia.org/wiki/Locally_connected_space
date created: 2006-09-12T12:53:38Z
date modified: 2024-09-09T02:15:13Z
main entity: {"identifier":"Q865967","url":"https://www.wikidata.org/entity/Q865967"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/79/Neighborhood_illust1.svg","width":518,"height":502}
fields total: 13
integrity: 16

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