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.
|Journal||Homology, Homotopy and Applications|
|Number of pages||22|
|Publication status||Submitted - 2019|
- The Faculty of Science - Global homotopy theory