Timeline for Approximating an open bounded set by compact set
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Mar 24, 2017 at 11:26 | comment | added | Mizar | For what it's worth, it is true for $n=2$. | |
Mar 23, 2017 at 15:14 | comment | added | Misha | If you want $L$ to be a subpolyhedron then this is already false for domains in $R^3$: Use $U$ homeomorphic to the Whitehead manifold $W$. (A regular neighborhood of such a retract $L\subset W$ would have to be a PL 3-ball but $W$ cannot be exhausted by 3-balls.) I am not sure about general compact subsets $L$. | |
Mar 23, 2017 at 11:19 | comment | added | Mark Grant | Have you looked at the section of Dold's "Lectures on Algebraic Topology" on ENRs? It might give you some ideas of how to prove (or disprove) what you want. | |
Mar 23, 2017 at 7:28 | history | edited | Myshkin | CC BY-SA 3.0 |
+ latex
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Mar 23, 2017 at 3:13 | comment | added | Yemon Choi | Are you making any smoothness assumptions about the boundary of U? | |
Mar 23, 2017 at 2:51 | review | First posts | |||
Mar 23, 2017 at 7:28 | |||||
Mar 23, 2017 at 2:50 | history | asked | E.G. | CC BY-SA 3.0 |