most recent 30 from http://mathoverflow.net 2013-05-22T00:43:27Z http://mathoverflow.net/feeds/user/10052 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/106571/a-space-in-which-sequences-have-unique-limits-but-compact-sets-need-not-be-closed Pedro Perez 2012-09-07T05:16:48Z 2012-09-09T04:56:49Z

<p>A topological space is KC if every compact subspace is closed. A topological space is US if every convergent sequences has exactly one limit. Does someone know an easy example of a US space which is not KC? Thanks.</p>

http://mathoverflow.net/questions/86812/separation-axioms Pedro Perez 2012-01-27T10:42:05Z 2012-01-27T16:40:29Z

<p>Reading about separation axioms, I wonder: Is there a separation axiom weaker than $T_2$ but stronger than $T_1$? $T_{1.5}$? I suppose there are some separation axioms stronger that $T_6$, how many are there?</p>

http://mathoverflow.net/questions/66007/can-non-homeomorphic-spaces-have-homeomorphic-squares Pedro Perez 2011-05-26T01:36:35Z 2011-05-26T08:55:37Z

<p>I an wondering if there are non-homeomorphic spaces $X$ and $Y$ such that $X^2$ is homeomorphic to $Y^2$.</p>

http://mathoverflow.net/questions/42117/discrete-subspaces-of-hausdorff-spaces Pedro Perez 2010-10-14T05:48:19Z 2010-10-16T13:01:14Z

<p>does every infinite hausdorff space contains a countable infinite discrete subspace?</p>

http://mathoverflow.net/questions/106571/a-space-in-which-sequences-have-unique-limits-but-compact-sets-need-not-be-closed Pedro Perez 2012-09-07T07:53:20Z 2012-09-07T07:53:20Z

That space is not US.

http://mathoverflow.net/questions/106571/a-space-in-which-sequences-have-unique-limits-but-compact-sets-need-not-be-closed Pedro Perez 2012-09-07T06:15:36Z 2012-09-07T06:15:36Z

Sorry, I edit to include definitions.