Monochromatic homotopy theory is asymptotically algebraic
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107999
Abstract: In previous work, we used an ∞-categorical version of ultraproducts to show that, for a fixed height n, the symmetric monoidal ∞-categories of En,p-local spectra are asymptotically algebraic in the prime p. In this paper,… read more here.
Keywords: homotopy theory; theory; asymptotically algebraic; monoidal categories ... See more keywords
A symmetric monoidal and equivariant Segal infinite loop space machine
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2018.09.001
Abstract: In [MMO] (arXiv:1704.03413), we reworked and generalized equivariant infinite loop space theory, which shows how to construct $G$-spectra from $G$-spaces with suitable structure. In this paper, we construct a new variant of the equivariant Segal… read more here.
Keywords: machine; equivariant segal; infinite loop; symmetric monoidal ... See more keywords
Purity and flatness in symmetric monoidal closed exact categories
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498820500048
Abstract: Let [Formula: see text] be a symmetric monoidal closed exact category. This category is a natural framework to define the notions of purity and flatness. When [Formula: see text] is endowed with an injective cogenerator… read more here.
Keywords: closed exact; monoidal closed; symmetric monoidal; formula see ... See more keywords