Monoidal Properties of Franke's Exotic Equivalence

Fuente: arXiv
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Hauptverfasser: Nikandros, Nikitas, Roitzheim, Constanze
Format: Preprint
Veröffentlicht: 2023
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author Nikandros, Nikitas
Roitzheim, Constanze
author_facet Nikandros, Nikitas
Roitzheim, Constanze
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_09432
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Monoidal Properties of Franke's Exotic Equivalence
Nikandros, Nikitas
Roitzheim, Constanze
Algebraic Topology
18N40, 55P42
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.
title Monoidal Properties of Franke's Exotic Equivalence
topic Algebraic Topology
18N40, 55P42
url https://arxiv.org/abs/2301.09432