English

Bousfield localisation and colocalisation of one-dimensional model structures

Category Theory 2020-06-04 v2 Algebraic Topology

Abstract

We give an account of Bousfield localisation and colocalisation for one-dimensional model categories---ones enriched over the model category of 00-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.

Cite

@article{arxiv.1801.02775,
  title  = {Bousfield localisation and colocalisation of one-dimensional model structures},
  author = {Scott Balchin and Richard Garner},
  journal= {arXiv preprint arXiv:1801.02775},
  year   = {2020}
}

Comments

22 pages; v2: final journal version

R2 v1 2026-06-22T23:40:01.991Z