Timeline for Equivalence of homotopy categories and model structure theory
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 6, 2014 at 15:30 | comment | added | John Rognes | Beware that Curtis' 1971 proof of the equivalence (his Theorem 1.35) contains a serious mistake. Diagram (ii) on page 201 does not commute, so Barratt's unpublished 1956 construction of a homeomorphism |Sd(X)| \cong |X| fails. A different homeomorphism was found by Fritsch and Puppe in 1967. The rest of Curtis' argument can probably be repaired using sections 2.3 and 2.5 of my book with Waldhausen and Jahren (AoMS 186) -- I should check someday. | |
| Feb 9, 2014 at 16:01 | vote | accept | KotelKanim | ||
| Feb 9, 2014 at 10:36 | history | answered | user43326 | CC BY-SA 3.0 |