Global model structures for ∗-modules
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Homology, Homotopy and Applications |
Vol/bind | 21 |
Udgave nummer | 2 |
Sider (fra-til) | 213 – 230 |
ISSN | 1532-0073 |
DOI | |
Status | Udgivet - 2019 |
Eksternt udgivet | Ja |
- Det Natur- og Biovidenskabelige Fakultet
Forskningsområder
Links
- https://arxiv.org/abs/1607.00144v2
Indsendt manuskript
ID: 193406501