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16
votes
2
answers
912
views
Counter-example to the existence of left Bousfield localization of combinatorial model category
Is there any known example of a combinatorial model category $C$ together with a set of map $S$ such that the left Bousefield localization of $C$ at $S$ does not exists ?
It is well known to exists w …
8
votes
1
answer
451
views
Left Bousfield localization without properness, what is known?
I'm interested in the existence of several example of left Bousfield localization of model categories that are not left proper (nor simplicial). I'm relatively convince that I can construct all those …