Timeline for Spaces of Finite Subsets
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 29, 2011 at 11:51 | vote | accept | Chris Gerig | ||
| Dec 27, 2011 at 4:12 | comment | added | Alex Suciu | John: It's kind of like you say, up to some shift. The homotopy type of $\exp_n(S^1)$ for $n=1,2,\dots$ is $$ S^1, S^1, S^3, S^3, S^5, S^5, \dots $$ This is proved by Tuffley in his Ph.D. thesis (Berkeley, 2003). | |
| Dec 26, 2011 at 14:03 | history | edited | Alex Suciu | CC BY-SA 3.0 |
added 143 characters in body
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| Dec 26, 2011 at 12:23 | comment | added | John Klein | See also: Handel, David: Some homotopy properties of spaces of finite subsets of topological spaces. Houston J. Math. 26 (2000), 747–764. | |
| Dec 26, 2011 at 12:19 | comment | added | John Klein | If I am remembering correctly, the pattern is this: ${exp}_d(S^1)$ for $ d =1,2,\dots$ is $S^1,S^1,S^2,S^2,S^3,S^3,\dots$ up to homotopy. | |
| Dec 25, 2011 at 1:55 | history | answered | Alex Suciu | CC BY-SA 3.0 |