Global model structures for -modules

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

In: Homology, Homotopy and Applications, 2019.

Research output: Contribution to journalJournal articleResearchpeer-review

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Böhme, B 2019, 'Global model structures for -modules', Homology, Homotopy and Applications.

APA

Böhme, B. (2019). Global model structures for -modules. Manuscript submitted for publication.

Vancouver

Böhme B. Global model structures for -modules. Homology, Homotopy and Applications. 2019.

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Böhme, Benjamin. / Global model structures for -modules. In: Homology, Homotopy and Applications. 2019.

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 = "The Faculty of Science, Global homotopy theory",
author = "Benjamin B{\"o}hme",
year = "2019",
language = "English",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press",

}

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 - The Faculty of Science

KW - Global homotopy theory

M3 - Journal article

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

ER -

ID: 193406501