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pro vyhledávání: '"Johnson, Brenda"'
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
Autor:
Bandklayder, Lauren, Bergner, Julia E., Griffiths, Rhiannon, Johnson, Brenda, Santhanam, Rekha
Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a general criterion for when model categories obtained via this approach are c
Externí odkaz:
http://arxiv.org/abs/2304.12954
Autor:
Bandklayder, Lauren, Bergner, Julia E., Griffiths, Rhiannon, Johnson, Brenda, Santhanam, Rekha
In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable for doing functor calculus.
Comment: 37 pages. Final version, to a
Comment: 37 pages. Final version, to a
Externí odkaz:
http://arxiv.org/abs/2003.00071
Autor:
Bandklayder, Lauren, Bergner, Julia E., Griffiths, Rhiannon, Johnson, Brenda, Santhanam, Rekha
Publikováno v:
In Topology and its Applications 1 July 2022 316
Autor:
Nelson, Sarah E., Aldrich, Eric, Johnson, Brenda, Groman, Susan, Thompson, Richard E., Urrutia, Victor
Publikováno v:
In Journal of Stroke and Cerebrovascular Diseases April 2022 31(4)
Autor:
Ouyang, Menglu, Faigle, Roland, Wang, Xia, Johnson, Brenda, Summers, Debbie, Khatri, Pooja, Billot, Laurent, Liu, Hueiming, Malavera, Alejandra, Muñoz-Venturelli, Paula, González, Francisca, Urrutia, Francisca, Day, Diana, Song, Lili, Sui, Yi, Delcourt, Candice, Robinson, Thompson, Durham, Alice C., Ebraimo, Ahtasam, Wan Zaidi, Wan Asyraf
Publikováno v:
Cerebrovascular Diseases; 2024, Vol. 53 Issue 5, p635-642, 8p
Akademický článek
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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
Autor:
Johnson, Brenda Lynn.
Thesis (M.S.)--North Carolina State University.
Includes vita. Includes bibliographical references.
Includes vita. Includes bibliographical references.
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