Timeline for Can the fundamental group of any manifold be realized as the fund grp of a finite space?
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 11, 2010 at 16:04 | comment | added | Dan Petersen | May has some notes on his webpage: math.uchicago.edu/~may/MISCMaster.html | |
| Nov 11, 2010 at 12:07 | comment | added | James Griffin | Is there a good reference discussing this result? My copy of Hatcher's AT now seems a little less complete... | |
| Nov 10, 2010 at 18:36 | comment | added | Pete L. Clark | @Ryan: yes, I went to Chicago, yes May was my teacher for algebraic topology (of both the undergraduate and graduate varieties) and yes, I graduated in 1998, safely before he became interested in this subject. | |
| Nov 10, 2010 at 17:16 | comment | added | Dan Petersen | Jonathan Barmak's thesis is definitely not in French. :) The abstract and introduction are in Spanish, though. As for how to compute the fundamental group of a concretely given CW complex, I can only give two tips: (i) use van Kampen wherever possible; (ii) think of the 1-cells as generators and 2-cells as relations. | |
| Nov 10, 2010 at 17:06 | vote | accept | Abhishek Parab | ||
| Nov 10, 2010 at 17:05 | comment | added | Abhishek Parab | This result is fantastic! (This being my first course in Alg Topology, I didn't know weak homotopy equivalence definition, but looked up.) So now may I ask, how one calculates the fund group of a CW complex 'efficiently'? Unfortunately, Barmak's thesis seems to be in French. | |
| Nov 10, 2010 at 15:54 | comment | added | Ryan Reich | You went to Chicago, right? It must have been before Peter May started to love this theorem; he taught a summer course on it in 2003. | |
| Nov 10, 2010 at 15:25 | comment | added | Pete L. Clark | +1: This is such a striking result that I am almost upset that no one told me about it in the algebraic topology classes I took in my youth. | |
| Nov 10, 2010 at 13:01 | history | answered | Dan Petersen | CC BY-SA 2.5 |