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Results tagged with bousfield-localization
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user 42571
5
votes
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Homotopy fibre sequence and left Bousfield localization
Let $\mathcal{M}$ be a pointed model category and $\mathcal{C}$ a class of maps in $\mathcal{M}$ for which the left Bousfield localization ${\rm L}_{\mathcal{C}}\mathcal{M}$ exists (see Hirschhorn, Mo …
- 30.3k
5
votes
2
answers
390
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Limit of weak equivalences in a Bousfield localization
Let $M$ be a model category and $C$ a class of maps in it, and assume the left Bousfield localization $L_CM$ exists. Suppose we are given sequences of maps $(p_{n+1}: X_{n+1}\to X_n), (q_{n+1}: Y_{n+1 …
- 19.6k