Timeline for When are two kinds of weak equivalence 'the same'?
Current License: CC BY-SA 3.0
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May 6, 2017 at 13:06 | vote | accept | user316092 | ||
May 6, 2017 at 12:36 | comment | added | Tim Porter | Have a look at some of the books on Quillen's theory. On fibrant-cofibrant objects a weak equivalence has a homotopy inverse with homotopy given by a cylinder or cocylinder object (I paraphrase a bit here.) Your question is not quite well posed, as it is not clear what `coincide' refers to. | |
May 6, 2017 at 11:55 | comment | added | user316092 | Ah I see, thanks. Do weak equivalences always coincide on the class of cofibrant-fibrant objects? | |
May 6, 2017 at 11:52 | history | edited | Tim Porter | CC BY-SA 3.0 |
added 26 characters in body
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May 5, 2017 at 14:23 | history | answered | Tim Porter | CC BY-SA 3.0 |