Global model structures for ∗-modules
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Homology, Homotopy and Applications |
Volume | 21 |
Issue number | 2 |
Pages (from-to) | 213 – 230 |
ISSN | 1532-0073 |
DOIs | |
Publication status | Published - 2019 |
Externally published | Yes |
- Faculty of Science - Global homotopy theory
Research areas
Links
- https://arxiv.org/abs/1607.00144v2
Submitted manuscript
ID: 193406501