Timeline for Divisibility in homology/homotopy
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Jun 10, 2014 at 17:43 | comment | added | Jesse C. McKeown | OK, nifty! ... but... why are those comments and not answers? But thanks, both. | |
| Jun 10, 2014 at 11:46 | comment | added | Tom Goodwillie | Duplicating what Achim Krause said somewhat: Any suspension has all homology primitive, but you can attach an $(n+4)$-cell to $S^n$ for large $n$ by a map that generates a summand of order three in the homotopy group. | |
| Jun 10, 2014 at 6:45 | comment | added | Achim Krause | The cone of any element in the homotopy groups of spheres which is not detected by the Hopf invariant will even have primitive homology. Pick any of those which is not divisible by p, and you have a counterexample, if I understand your question correctly. | |
| Jun 10, 2014 at 4:46 | history | edited | Jesse C. McKeown | CC BY-SA 3.0 |
acknowledging ambiguity in representatives of presented things
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| Jun 10, 2014 at 4:44 | comment | added | Jesse C. McKeown | Then I should ask if they can be chosen divisible by $p$. OK. | |
| Jun 10, 2014 at 0:20 | comment | added | Tom Goodwillie | I don't know what "the cellular attaching maps are divisible by $p$" means. The same space can have more than one cell structure. | |
| Jun 9, 2014 at 23:17 | comment | added | Jesse C. McKeown | I can also tell you exactly what the particular complex is I have in mind, but that might defeat the purpose. | |
| Jun 9, 2014 at 23:16 | history | edited | Jesse C. McKeown | CC BY-SA 3.0 |
clarified ambiguous notation
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| Jun 9, 2014 at 23:10 | comment | added | Jesse C. McKeown | Here, $x$ is meant to be a homology class, though for my particular complex it could as easily be a chain --- but then I'd have to check the comultiplication again. If mathoverflow will let me, I'll adjust the question. | |
| Jun 9, 2014 at 22:17 | comment | added | Tom Goodwillie | Is $x$ a chain or a homology class? Can you ask the question more precisely? | |
| Jun 9, 2014 at 19:17 | history | asked | Jesse C. McKeown | CC BY-SA 3.0 |