Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Bauer, Kristine"'
Autor:
Bauer, Kristine, Brooks, Robyn, Hess, Kathryn, Johnson, Brenda, Rasmusen, Julie, Schreiner, Bridget
This paper is the first step in a general program for defining cocalculus towers of functors via sequences of compatible monads. Goodwillie's calculus of homotopy functors inspired many new functor calculi in a wide range of contexts in algebra, homo
Externí odkaz:
http://arxiv.org/abs/2403.01724
We make precise the analogy between Goodwillie's calculus of functors in homotopy theory and the differential calculus of smooth manifolds by introducing a higher-categorical framework of which both theories are examples. That framework is an extensi
Externí odkaz:
http://arxiv.org/abs/2101.07819
In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories established by the second author and McCarthy. We carefully construct a category of abelian categories and suitably homotopically defined functors, an
Externí odkaz:
http://arxiv.org/abs/1610.01930
Goodwillie's calculus of homotopy functors associates a tower of polynomial approximations, the Taylor tower, to a functor of topological spaces over a fixed space. We define a new tower, the varying center tower, for functors of categories with a fi
Externí odkaz:
http://arxiv.org/abs/1506.02112
Autor:
Basterra, Maria, Bauer, Kristine, Beaudry, Agnes, Eldred, Rosona, Johnson, Brenda, Merling, Mona, Yeakel, Sarah
Recently, the Johnson-McCarthy discrete calculus for homotopy functors was extended to include functors from an unbased simplicial model category to spectra. This paper completes the constructions needed to ensure that there exists a discrete calculu
Externí odkaz:
http://arxiv.org/abs/1409.1553
In this note the usual Goursat lemma, which describes subgroups of the direct product of two groups, is generalized to describing subgroups of a direct product $A_1\times A_2 \times...\times A_n$ of a finite number of groups. Other possible generaliz
Externí odkaz:
http://arxiv.org/abs/1109.0024
We study functors F from C_f to D where C and D are simplicial model categories and C_f is the full subcategory of C consisting of objects that factor a fixed morphism f from A to B. We define the analogs of Eilenberg and Mac Lane's cross effects fun
Externí odkaz:
http://arxiv.org/abs/1101.1025
Publikováno v:
In Topology and its Applications 15 February 2018 235:375-427
Publikováno v:
Transactions of the American Mathematical Society, 2015 Sep 01. 367(9), 6671-6718.
Externí odkaz:
http://www.jstor.org/stable/24513482
Publikováno v:
European Mathematical Society Magazine; Dec2022, Issue 126, p41-50, 10p