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Model category structures on multicomplexes

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Model category structures on multicomplexes. / Fu, X.; Guan, A.; Livernet, M. et al.
In: Topology and its Applications, Vol. 316, 108104, 01.07.2022.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Fu, X, Guan, A, Livernet, M & Whitehouse, S 2022, 'Model category structures on multicomplexes', Topology and its Applications, vol. 316, 108104. https://doi.org/10.1016/j.topol.2022.108104

APA

Fu, X., Guan, A., Livernet, M., & Whitehouse, S. (2022). Model category structures on multicomplexes. Topology and its Applications, 316, Article 108104. https://doi.org/10.1016/j.topol.2022.108104

Vancouver

Fu X, Guan A, Livernet M, Whitehouse S. Model category structures on multicomplexes. Topology and its Applications. 2022 Jul 1;316:108104. Epub 2022 Jun 13. doi: 10.1016/j.topol.2022.108104

Author

Fu, X. ; Guan, A. ; Livernet, M. et al. / Model category structures on multicomplexes. In: Topology and its Applications. 2022 ; Vol. 316.

Bibtex

@article{80e282ec50354e6eb5cc4738b31f5c5e,
title = "Model category structures on multicomplexes",
abstract = "We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducing an isomorphism at a fixed stage of an associated spectral sequence. Corresponding model structures are given for truncated versions of multicomplexes, interpolating between bicomplexes and multicomplexes. For a fixed stage of the spectral sequence, the model structures on all these categories are shown to be Quillen equivalent. ",
author = "X. Fu and A. Guan and M. Livernet and S. Whitehouse",
year = "2022",
month = jul,
day = "1",
doi = "10.1016/j.topol.2022.108104",
language = "English",
volume = "316",
journal = "Topology and its Applications",

}

RIS

TY - JOUR

T1 - Model category structures on multicomplexes

AU - Fu, X.

AU - Guan, A.

AU - Livernet, M.

AU - Whitehouse, S.

PY - 2022/7/1

Y1 - 2022/7/1

N2 - We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducing an isomorphism at a fixed stage of an associated spectral sequence. Corresponding model structures are given for truncated versions of multicomplexes, interpolating between bicomplexes and multicomplexes. For a fixed stage of the spectral sequence, the model structures on all these categories are shown to be Quillen equivalent.

AB - We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducing an isomorphism at a fixed stage of an associated spectral sequence. Corresponding model structures are given for truncated versions of multicomplexes, interpolating between bicomplexes and multicomplexes. For a fixed stage of the spectral sequence, the model structures on all these categories are shown to be Quillen equivalent.

U2 - 10.1016/j.topol.2022.108104

DO - 10.1016/j.topol.2022.108104

M3 - Journal article

VL - 316

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 108104

ER -