PlanetMath: locally simply connected

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locally simply connected

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Let be a topological space and $x\in X$ . is said to be locally simply connected at , if every neighborhood of contains a simply connected neighborhood of .

is said to be locally simply connected if it is locally simply connected at every point.

"locally simply connected" is owned by Dr_Absentius.

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Other names:

locally 1-connected

Also defines:

locally simply connected

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Cross-references: point, simply connected, contains, neighborhood, topological space
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This is version 3 of locally simply connected, born on 2003-02-05, modified 2004-03-02.
Object id is 3975, canonical name is LocallySimplyConnected.
Accessed 3347 times total.

Classification:

54D05 (General topology :: Fairly general properties :: Connected and locally connected spaces )

Pending Errata and Addenda

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