Timeline for A heart for stable equivariant homotopy theory
Current License: CC BY-SA 2.5
7 events
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Jul 30, 2016 at 23:34 | comment | added | Peter May | Ok, since I thought I had already answered this question, I've gone back and answered your other question mathoverflow.net/questions/245006/…. The negative homotopy groups of any suspension $G$-spectrum are zero. My long answer to mathoverflow.net/questions/65180/… is also relevant. | |
Jul 30, 2016 at 18:56 | comment | added | Mikhail Bondarko | Thank you! I am currently reading some texts on equivariant spectra including your book; yet this requires some time. As about formal properties: I am interested in an equivariant version of the vanishing of negative stable homotopy groups of spheres; cf. mathoverflow.net/questions/245006/… | |
Jul 30, 2016 at 18:00 | comment | added | Peter May | The proof is identical as for $G=e$, once you understand $G$-CW spectra, for which the source is math.uchicago.edu/~may/BOOKS/equi.pdf. The point is that they satisfy the same formal properties used in a standard proof for $G=e$. I can add full details, but I hope that is not necessary. | |
Jul 29, 2016 at 19:29 | comment | added | Mikhail Bondarko | Sorry, can you explan why the couple $(D^{\le 0}, D^{\ge 0})$ yields a t-structure? Surely, abstract nonsense yields the existence of a t-structure whose non-negative part is precisely $D^{\ge 0}$; should one apply some "standard topological argument" to compute $D^{\le 0}$ then? | |
Jan 4, 2011 at 22:28 | vote | accept | user2146 | ||
Dec 29, 2010 at 16:43 | history | edited | Charles Rezk | CC BY-SA 2.5 |
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Dec 29, 2010 at 16:24 | history | answered | Peter May | CC BY-SA 2.5 |