Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Johnson, Niles"'
Autor:
Gurski, Nick, Johnson, Niles
This work introduces a general theory of universal pseudomorphisms and develops their connection to diagrammatic coherence. The main results give hypotheses under which pseudomorphism coherence is equivalent to the coherence theory of strict algebras
Externí odkaz:
http://arxiv.org/abs/2312.11261
Autor:
Johnson, Niles, Yau, Donald
Mackey functors provide the coefficient systems for equivariant cohomology theories. More generally, enriched presheaf categories provide a classification and organization for many stable model categories of interest. Changing enrichments along $K$-t
Externí odkaz:
http://arxiv.org/abs/2212.04276
We define a tensor product for permutative categories and prove a number of key properties. We show that this product makes the 2-category of permutative categories closed symmetric monoidal as a bicategory.
Comment: 84 pages
Comment: 84 pages
Externí odkaz:
http://arxiv.org/abs/2211.04464
Autor:
Johnson, Niles, Yau, Donald
Publikováno v:
Journal of Homotopy and Related Structures 17 (2022), 569-592
We show that each of the three $K$-theory multifunctors from small permutative categories to $\mathcal{G}_*$-categories, $\mathcal{G}_*$-simplicial sets, and connective spectra, is an equivalence of homotopy theories. For each of these $K$-theory mul
Externí odkaz:
http://arxiv.org/abs/2205.08401
Autor:
Johnson, Niles, Yau, Donald
Publikováno v:
Theory and Applications of Categories, Vol. 38, 2022, No. 30, pp 1156-1208
We show that the free construction from multicategories to permutative categories is a categorically-enriched non-symmetric multifunctor. Our main result then shows that the induced functor between categories of algebras is an equivalence of homotopy
Externí odkaz:
http://arxiv.org/abs/2202.13659
Autor:
Johnson, Niles, Yau, Donald
Publikováno v:
Homology, Homotopy and Applications 25 (2023), 147-172
There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors induce an equivalence of homotopy theories. This result extends a simi
Externí odkaz:
http://arxiv.org/abs/2111.08653
Autor:
Johnson, Niles, Yau, Donald
Publikováno v:
Ann. K-Th. 7 (2022) 507-548
We show that Mandell's inverse $K$-theory functor is a categorically-enriched non-symmetric multifunctor. In particular, it preserves algebraic structures parametrized by non-symmetric operads. As applications, we describe how ring categories arise a
Externí odkaz:
http://arxiv.org/abs/2109.01430
Autor:
Johnson, Niles, Yau, Donald
Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic $K$-theory since around 1970. There is an abundance of new applications and questio
Externí odkaz:
http://arxiv.org/abs/2107.10526
In this paper we show that the strict and lax pullbacks of a 2-categorical opfibration along an arbitrary 2-functor are homotopy equivalent. We give two applications. First, we show that the strict fibers of an opfibration model the homotopy fibers.
Externí odkaz:
http://arxiv.org/abs/2010.11173