Difference between revisions of "Locally path connected topological space"
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| + | {{Definition|Topology|Algebraic Topology}} | ||
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{{Provisional page|grade=A|msg=Standard provisional page}} | {{Provisional page|grade=A|msg=Standard provisional page}} | ||
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==Definition== | ==Definition== | ||
Let {{Top.|X|J}} be a [[topological space]]. We call {{Top.|X|J}} ''locally path connected'' if it admits a {{link|basis|topology}} of ''[[path-connected]]'' [[open sets]] | Let {{Top.|X|J}} be a [[topological space]]. We call {{Top.|X|J}} ''locally path connected'' if it admits a {{link|basis|topology}} of ''[[path-connected]]'' [[open sets]] | ||
Latest revision as of 14:44, 23 February 2017
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Contents
Definition
Let [ilmath](X,\mathcal{ J })[/ilmath] be a topological space. We call [ilmath](X,\mathcal{ J })[/ilmath] locally path connected if it admits a basis of path-connected open sets
