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[parent] Viewing Correction to 'locally connected'
linking issues by matte

Correction id: 2554
Filed on: 2003-09-06 03:14:29
Status: Accepted on 2003-10-06 18:06:27
Type: Meta/Minor

Correction text:
Hi

1) In the definition of 'locally connected', shouldn't 'connected' link
to 'connected set', that is, to

http://planetmath.org/encyclopedia/ConnectedSet.html

As it is, it links to connected space, but then one
should prescribe some topology on the neighborhood
in order for the definition to make sense.

2) The see also link to 'connected' links a graph related entry.
It should go to ConnectedSpace,

http://planetmath.org/?op=getobj&from=objects&id=941

3) Further, you could maybe add your entry 'semilocally simply connected'
to the 'see also' list:

http://planetmath.org/?op=getobj&from=objects&name=SemilocallySimplyConnected



 

Comment from object owner djao:
> As it is, it links to connected space, but then one
> should prescribe some topology on the neighborhood
> in order for the definition to make sense.

I believe it is widely understood in topology that a subset of a topological space is always to be given the subspace topology unless otherwise specified. Therefore no explicit prescription of the topology on the neighborhood is required.

> 2) The see also link to 'connected' links a graph related entry.
> It should go to ConnectedSpace,
> 3) Further, you could maybe add your entry 'semilocally simply connected'
> to the 'see also' list:
These will be fixed.
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