Scott Balchin abstract

 

Title: Bousfield localisation and colocalisations of one-dimensional model structures.

Abstract: We give a novel description of Bousfield localisation and colocalisation for one-dimensional combinatorial model categories (i.e., ones enriched over the model category of 0-types).  Our method relies only on the use of projective and injective transfer of model structures along right and left adjoints, and as such does not make reference to Smith’s theorem.  Plenty of examples will be provided!  Joint with Richard Garner.

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