AlanH
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 Jun 21 asked Showing the topologists sine curve is connected (slight variation) Jun 19 accepted Understanding equivalent definitions of left cosets Jun 19 revised Understanding equivalent definitions of left cosets deleted 1 characters in body Jun 19 asked Understanding equivalent definitions of left cosets Jun 18 accepted Open sets in $\Bbb{R}^2$ and $\Bbb{R}^3$ Jun 17 comment Open sets in $\Bbb{R}^2$ and $\Bbb{R}^3$ So the unit intveral on the x-axis wouldn't be open in $\Bbb{R}^2$ right? Jun 17 comment Open sets in $\Bbb{R}^2$ and $\Bbb{R}^3$ @Berci Thanks for that Jun 17 comment Open sets in $\Bbb{R}^2$ and $\Bbb{R}^3$ Yes, but it is still a union of open balls. So in some sense, are open balls the basis of all open sets in $\Bbb{R}^2$? Jun 17 asked Open sets in $\Bbb{R}^2$ and $\Bbb{R}^3$ Jun 17 comment Topologist's sine curve is connected Doesn't disconnected mean that there are two disjoint open sets $A$ and $B$ such that the entire set $S$ is equal to $A\cup B$? But when you take your definitions of $A$ and $B$, the union of them is more than what is needed, no? Jun 17 accepted Clarification on quotient groups Jun 17 asked Clarification on quotient groups Jun 17 accepted Congruence relation possible typo? Jun 17 asked Congruence relation possible typo? Jun 10 accepted Clarification needed on finding last two digits of $9^{9^9}$ Jun 10 asked Clarification needed on finding last two digits of $9^{9^9}$ Jun 10 accepted Showing a compact metric space has a countable dense subset Jun 10 accepted Can a group of order $55$ have exactly $20$ elements of order $11$? (Clarification) Jun 9 asked How to determine the parity of a permutation by its cycle decomposition Jun 9 revised Can a group of order $55$ have exactly $20$ elements of order $11$? (Clarification) edited body