User pedro perez - MathOverflow 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 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 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 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 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 Comment by Pedro Perez 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 Comment by Pedro Perez Pedro Perez 2012-09-07T06:15:36Z 2012-09-07T06:15:36Z Sorry, I edit to include definitions.