Monoidal properties of Franke's exotic equivalence

Nikandros, Nikitas, Roitzheim, Constanze (2024) Monoidal properties of Franke's exotic equivalence. Algebraic & Geometric Topology, . ISSN 1472-2739. (In press) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:104488)

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Abstract

Franke’s reconstruction functor R is known to provide examples of triangulated equivalences between homotopy categories of stable model categories, which are exotic in the sense that the underlying model categories are not Quillen equivalent. We show that, while not being a tensor-triangulated functor in general, R is compatible with monoidal products.

Item Type:	Article
Additional information:	For the purpose of open access, the author(s) has applied a Creative Commons Attribution (CC BY) licence to any Author Accepted Manuscript version arising.
Uncontrolled keywords:	Triangulated equivalences, homotopy, Quillen equivalent, tensor-triangulated functor
Subjects:	Q Science
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	Engineering and Physical Sciences Research Council (https://ror.org/0439y7842)
Depositing User:	Constanze Roitzheim
Date Deposited:	04 Jan 2024 10:49 UTC
Last Modified:	05 Nov 2024 13:10 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/104488 (The current URI for this page, for reference purposes)

University of Kent Author Information

Nikandros, Nikitas.

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Roitzheim, Constanze.

Creator's ORCID:	https://orcid.org/0000-0003-3065-0672
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