Timeline for Suspension of an excisive pair
Current License: CC BY-SA 3.0
6 events
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| Apr 20, 2013 at 12:42 | comment | added | Karol Szumiło | @Fernando: I don't remember what exactly I meant at the time of writing that answer and I was somewhat confused then. By now I have clarified it. All excisive triads are homotopy pushouts with respect to weak homotopy equivalences (see tom Dieck Algebraic Topology Theorem 6.7.9) and all numerable excisive triads are homotopy pushouts with respect to genuine homotopy equivalences (loc. cit. Proposition 4.2.3) | |
| Apr 7, 2013 at 14:13 | comment | added | Fernando | @Karol Szumiło, you said: "I don't think it is literally true that every excisive triad is a homotopy pushout, but those that aren't should be considered pathological anyway." You were talking about homotopy pushout in the Quillen Model Structure, or in the Strom Structure? (Or both?) | |
| Jan 6, 2012 at 8:02 | comment | added | Karol Szumiło | I made a correction. My counterexample is not a homotopy pushout, but not for the reason I originally stated. | |
| Jan 6, 2012 at 8:01 | history | edited | Karol Szumiło | CC BY-SA 3.0 |
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| Jan 5, 2012 at 20:38 | comment | added | Tom Goodwillie | You said it better than I did! | |
| Jan 5, 2012 at 19:32 | history | answered | Karol Szumiło | CC BY-SA 3.0 |