Abstract
We give an account of Bousfield localisation and colocalisation for one-dimensional model categories—ones enriched over the model category of 0-types. A distinguishing feature of our treatment is that it builds localisations and colocalisations using only the constructions of projective and injective transfer of model structures along right and left adjoint functors, and without any reference to Smith’s theorem.
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Communicated by M. M. Clementino.
The work described here was carried out during a visit by the first author to Sydney supported by Macquarie University Research Centre funding; both authors express their gratitude for this support. The second author also acknowledges, with equal gratitude, the support of Australian Research Council Grants DP160101519 and FT160100393.
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Balchin, S., Garner, R. Bousfield Localisation and Colocalisation of One-Dimensional Model Structures. Appl Categor Struct 27, 1–21 (2019). https://doi.org/10.1007/s10485-018-9537-z
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DOI: https://doi.org/10.1007/s10485-018-9537-z