Timeline for Complement of a closed star-shaped subset in a Frechet space
Current License: CC BY-SA 3.0
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May 6, 2011 at 1:36 | comment | added | Igor Belegradek | In a finite dimensional space one has Alexander duality, relating cohomology of the closed subset and homology of the complement; it does not seem to generalise in any way to infinite dimension. I just hope that the assumption "closed star-shaped subset" is quite restrictive, and not every open subset of $l_2$ occurs as the complement of a closed star-shaped subset. | |
May 5, 2011 at 21:17 | history | edited | Dmitri Panov | CC BY-SA 3.0 |
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May 5, 2011 at 20:42 | history | edited | Dmitri Panov | CC BY-SA 3.0 |
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May 5, 2011 at 20:37 | history | answered | Dmitri Panov | CC BY-SA 3.0 |