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Jan
12
accepted Does a closed subset $E$ of $X\times X$ induce a closed quotient map $X\rightarrow X/E$?
Jan
12
revised Does a closed subset $E$ of $X\times X$ induce a closed quotient map $X\rightarrow X/E$?
added 12 characters in body
Jan
12
revised Does a closed subset $E$ of $X\times X$ induce a closed quotient map $X\rightarrow X/E$?
added 22 characters in body
Jan
12
asked Does a closed subset $E$ of $X\times X$ induce a closed quotient map $X\rightarrow X/E$?
Dec
23
accepted Is the product of second category spaces second category?
Dec
19
comment Is the product of second category spaces second category?
Could you please write them anyway.
Dec
18
asked Is the product of second category spaces second category?
Jul
7
comment Closed Compact Subset of Product Space Must Have Empty Interior
This implies that the assumption that $K$ is closed is not necessary.
Jun
28
accepted Subadditivity inequality and power functions
Jun
28
comment The boundary of a closed subset $A$ of a compact connected hausdorff space
Duh for me. I missed that. Thanks.
Jun
28
accepted The boundary of a closed subset $A$ of a compact connected hausdorff space
Jun
27
comment The boundary of a closed subset $A$ of a compact connected hausdorff space
To prove that second lemma, he uses the first lemma, but I'm having trouble seeing why $C\cap B=\emptyset$ in the if part of that first lemma. In that lemma, the first one, $K$ is a compact subset of $X$, which is Hausdorff, and $B$ is $\partial K$ in $X$. In my question $X$ is Hausdorff, and compact and connected. If my $X$ is Hausdorff too, $A$ is compact too (because $A$ is closed in a compact) and my $C$ is a component of $A$, why there, in the if part of the first lemma, $C\cap\partial A=\emptyset$, but you prove that $C\cap\partial A\neq\emptyset$. What is going on?!
Jun
26
revised The boundary of a closed subset $A$ of a compact connected hausdorff space
deleted 2 characters in body
Jun
25
revised The boundary of a closed subset $A$ of a compact connected hausdorff space
added 3 characters in body
Jun
25
asked The boundary of a closed subset $A$ of a compact connected hausdorff space
Jun
12
accepted $\mathbb{I}\times\mathbb{Q}\cup\mathbb{Q}\times\mathbb{I}$ and connectedness
Jun
12
comment $\mathbb{I}\times\mathbb{Q}\cup\mathbb{Q}\times\mathbb{I}$ and connectedness
Sorry for not being clear. I've just edited my question in order to be clear.
Jun
12
revised $\mathbb{I}\times\mathbb{Q}\cup\mathbb{Q}\times\mathbb{I}$ and connectedness
added 175 characters in body
Jun
12
asked $\mathbb{I}\times\mathbb{Q}\cup\mathbb{Q}\times\mathbb{I}$ and connectedness
Jun
1
comment Showing one point compactification is unique up to homeomorphism
@BrianM.Scott, great! Very nice of you, by the way.