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
(WEAK) INCIDENCE BIALGEBRAS OF MONOIDAL CATEGORIES
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DOI: 10.1017/s0017089520000075
Abstract: Abstract Incidence coalgebras of categories in the sense of Joni and Rota are studied, specifically cases where a monoidal product on the category turns these into (weak) bialgebras. The overlap with the theory of combinatorial… read more here.
Keywords: incidence; weak incidence; bialgebras monoidal; incidence bialgebras ... See more keywords
Monoidal Categories Enriched in Braided Monoidal Categories
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DOI: 10.1093/imrn/rnx217
Abstract: We introduce the notion of a monoidal category enriched in a braided monoidal category $\mathcal V$. We set up the basic theory, and prove a classification result in terms of braided oplax monoidal functors to… read more here.
Keywords: enriched braided; braided monoidal; monoidal categories; category mathcal ... See more keywords