Global model structures for ∗-modules
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Global model structures for ∗-modules. / Böhme, Benjamin.
I: Homology, Homotopy and Applications, Bind 21, Nr. 2, 2019, s. 213 – 230.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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