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 -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