Global model structures for -modules

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Benjamin Böhme

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.
OriginalsprogEngelsk
TidsskriftHomology, Homotopy and Applications
Antal sider22
ISSN1532-0073
StatusAfsendt - 2019

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