Bousfield localisation and colocalisation of one-dimensional model structures

Scott Balchin, Richard Garner*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    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.

    Original languageEnglish
    Pages (from-to)1-21
    Number of pages21
    JournalApplied Categorical Structures
    Volume27
    Issue number1
    Early online date10 Aug 2018
    DOIs
    Publication statusPublished - 15 Feb 2019

    Keywords

    • Bousfield (co)localisation
    • Quillen model structures

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