Global model structures for -modules

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Global model structures for -modules. / Böhme, Benjamin.

In: Homology, Homotopy and Applications, Vol. 21, No. 2, 2019, p. 213 – 230.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Böhme, B 2019, 'Global model structures for -modules', Homology, Homotopy and Applications, vol. 21, no. 2, pp. 213 – 230. https://doi.org/10.4310/HHA.2019.v21.n2.a12

APA

Böhme, B. (2019). Global model structures for -modules. Homology, Homotopy and Applications, 21(2), 213 – 230. https://doi.org/10.4310/HHA.2019.v21.n2.a12

Vancouver

Böhme B. Global model structures for -modules. Homology, Homotopy and Applications. 2019;21(2):213 – 230. https://doi.org/10.4310/HHA.2019.v21.n2.a12

Author

Böhme, Benjamin. / Global model structures for -modules. In: Homology, Homotopy and Applications. 2019 ; Vol. 21, No. 2. pp. 213 – 230.

Bibtex

@article{8b835d6840cb40c796c3a4224351ef17,
title = "Global model structures for ∗-modules",
abstract = "We extend Schwede's work on the unstable global homotopy theory of orthogonal spaces and L-spaces to the category of ∗-modules (i.e., unstable S-modules). We prove a theorem which transports model structures and their properties from L-spaces to ∗-modules and show that the resulting global model structure for ∗-modules is monoidally Quillen equivalent to that of orthogonal spaces. As a consequence, there are induced Quillen equivalences between the associated model categories of monoids, which identify equivalent models for the global homotopy theory of A∞-spaces.",
keywords = "Faculty of Science, Global homotopy theory",
author = "Benjamin B{\"o}hme",
year = "2019",
doi = "10.4310/HHA.2019.v21.n2.a12",
language = "English",
volume = "21",
pages = "213 – 230",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press",
number = "2",

}

RIS

TY - JOUR

T1 - Global model structures for ∗-modules

AU - Böhme, Benjamin

PY - 2019

Y1 - 2019

N2 - We extend Schwede's work on the unstable global homotopy theory of orthogonal spaces and L-spaces to the category of ∗-modules (i.e., unstable S-modules). We prove a theorem which transports model structures and their properties from L-spaces to ∗-modules and show that the resulting global model structure for ∗-modules is monoidally Quillen equivalent to that of orthogonal spaces. As a consequence, there are induced Quillen equivalences between the associated model categories of monoids, which identify equivalent models for the global homotopy theory of A∞-spaces.

AB - We extend Schwede's work on the unstable global homotopy theory of orthogonal spaces and L-spaces to the category of ∗-modules (i.e., unstable S-modules). We prove a theorem which transports model structures and their properties from L-spaces to ∗-modules and show that the resulting global model structure for ∗-modules is monoidally Quillen equivalent to that of orthogonal spaces. As a consequence, there are induced Quillen equivalences between the associated model categories of monoids, which identify equivalent models for the global homotopy theory of A∞-spaces.

KW - Faculty of Science

KW - Global homotopy theory

U2 - 10.4310/HHA.2019.v21.n2.a12

DO - 10.4310/HHA.2019.v21.n2.a12

M3 - Journal article

VL - 21

SP - 213

EP - 230

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

IS - 2

ER -

ID: 193406501