50 reputation
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age 24
visits member for 1 year, 9 months
seen Dec 14 '12 at 3:53

Senior at Miami University in Oxford, OH, intending on graduate study in pure mathematics. I'm really interested in Analysis and Geometry.


Dec
11
awarded  Popular Question
Dec
12
asked Cover of (0,1) with no finite subcover & Open sets of compact function spaces
Nov
26
awarded  Supporter
Nov
26
accepted Closed subsets of Lindelöf spaces are Lindelöf
Nov
26
awarded  Scholar
Nov
26
accepted Proving separability of the countable product of separable spaces using density.
Nov
26
comment Closed subsets of Lindelöf spaces are Lindelöf
Very cool, Seth. Thanks.
Nov
26
comment Closed subsets of Lindelöf spaces are Lindelöf
Ah, then take away X-A, then V would still be countable, leaving only the desired countable cover of A.
Nov
26
comment Closed subsets of Lindelöf spaces are Lindelöf
Then consider open cover of X, which consists of X-A and V. Since X is Lindelof, then the union of X-A and V has a countable subcover...
Nov
26
comment Closed subsets of Lindelöf spaces are Lindelöf
Let U be an open cover of A. Since all elements of U are open, they are equal to the intersection of some family of open sets with A. Let this collection of intersections be denoted V.
Nov
26
asked Closed subsets of Lindelöf spaces are Lindelöf
Nov
25
awarded  Student
Nov
25
asked Proving separability of the countable product of separable spaces using density.