Talk:Irreducible Space is Locally Connected

A basis is a subset of a topology, so all the sets comprising a basis are open.

If any two open sets have a non-null intersection, it follows that any two sets of a basis likewise have a non-null intersection, as those sets are also open. --88.211.92.180 04:08, 23 August 2011 (CDT)

That doesn't implie that there is a "local base" of connected sets. --Dan232 07:53, 23 August 2011 (CDT)


 * That's where the problem is, the definition's wrong for Locally Connected. --88.211.92.180 08:02, 23 August 2011 (CDT)


 * It should say, "local basis" instead of "basis". Either way, if any two sets of the basis have non-null intersection doesn't mean that they are connected (no trivially, at least) --Dan232 08:15, 23 August 2011 (CDT)