Monoidal properties of Franke’s exoticequivalence

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.55P42; 18N55

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Journal
Algebraic & Geometric Topology
Published
2024-12-27
DOI
https://doi.org/10.2140/agt.2024.24.5161
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

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article

Monoidal properties of Franke’s exoticequivalence

Constanze Roitzheim, Nikitas Nikandros
Algebraic & Geometric Topology
Advanced Topics in Algebra
article

Monoidal properties of Franke’s exoticequivalence

Constanze Roitzheim, Nikitas Nikandros
article en

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.55P42; 18N55

Algebraic & Geometric TopologyVol. 24(9)
University of Kent (GB)
Engineering and Physical Sciences Research Council
Openalex Percentile: Top 56%
Advanced Topics in Algebra
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Monoidal properties of Franke’s exoticequivalence — Constanze Roitzheim, Nikitas Nikandros · Algebraic & Geometric Topology (2024) | TGRS Research Map | TGRS