Timeline for Counterexamples for strengthening Whitehead's theorem?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| S Jul 7, 2015 at 14:04 | history | suggested | psmears | CC BY-SA 3.0 |
Fix typo; improve wording
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| Jul 7, 2015 at 13:46 | review | Suggested edits | |||
| S Jul 7, 2015 at 14:04 | |||||
| Jul 6, 2015 at 8:26 | comment | added | user51223 | Sorry, I made a mistake. I meant Phantom maps. Look at `SPACES OF THE SAME n-TYPE, FOR ALL n' by Brayton Gray,TOPOLOGY Vol.5,pp.241. I think it has sort of examples you are after. | |
| Jul 6, 2015 at 5:25 | vote | accept | KotelKanim | ||
| Jul 6, 2015 at 4:36 | comment | added | Qiaochu Yuan | @user51223: I don't follow. For $n = \infty$ you can just apply the usual Whitehead's theorem. | |
| Jul 6, 2015 at 3:22 | answer | added | Jeff Strom | timeline score: 8 | |
| Jul 5, 2015 at 21:42 | comment | added | user51223 | I think for $n=+\infty$ what you look for is related to Jet maps which are discussed in Gray's book. Restricted to finite dimensional complexes, they give isomorphism, but not a homotopy equiv. in general. I also suggest to compare the above version of Whitehead's theorem to the version related to $n$-types. Look at Mosher and Tangora, Theorem 3 on page 131. They are not the same notions, but very much related. | |
| Jul 5, 2015 at 19:43 | answer | added | Oscar Randal-Williams | timeline score: 9 | |
| Jul 5, 2015 at 13:23 | history | asked | KotelKanim | CC BY-SA 3.0 |