Timeline for How much of homotopy theory can be done using only finite topological spaces?
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7 events
| when toggle format | what | by | license | comment | |
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| Mar 17, 2015 at 1:48 | comment | added | Peter May | Whoops. Thanks Lennart. I didn't know Raptis's paper and I think it is the same model structure. So here is something new. For a discrete group G, the category of G-posets has a model structure Quillen equivalent to the standard model structure on G-spaces or G-simplicial sets. | |
| Mar 16, 2015 at 18:33 | comment | added | Lennart Meier | @PeterMay Is this different from the model structure considered by George Raptis in intlpress.com/site/pub/files/_fulltext/journals/hha/2010/0012/… ? | |
| Feb 1, 2015 at 3:34 | comment | added | Peter May | Since I wrote that answer, Inna Zakharevich and I have defined a model structure on the category of posets and proved that it is Quillen equivalent to the standard model structure on spaces or simplicial sets. Thus in principle one can do all of algebraic topology with posets. | |
| Jan 29, 2015 at 22:45 | comment | added | Michał Kukieła | Thibault's thesis (Peter, thank you for mentioning it!) is available for download from his homepage. Results similar to those of Clader were also obtained by Eric Wofsey, see page 25 of this file. | |
| Aug 12, 2014 at 21:52 | vote | accept | Paul Siegel | ||
| Jul 31, 2014 at 2:43 | history | edited | Vidit Nanda | CC BY-SA 3.0 |
Linked to a full citation of Matt's thesis. And fixed my name.
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| Jul 31, 2014 at 2:17 | history | answered | Peter May | CC BY-SA 3.0 |