Zobrazeno 1 - 10 of 31 pro vyhledávání: '"Georg Biedermann"'
1
A generalized Blakers–Massey theorem
Autor: Eric Finster, Mathieu Anel, Georg Biedermann, André Joyal
Publikováno v: Journal of Topology. 13:1521-1553
We prove a generalization of the classical connectivity theorem of Blakers-Massey, valid in an arbitrary higher topos and with respect to an arbitrary modality, that is, a factorization system (L,R) in which the left class is stable by base change. W
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f3eaa47fe355c9d987587b150fb9a2d
https://doi.org/10.1112/topo.12163
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3
Goodwillie's calculus of functors and higher topos theory
Autor: André Joyal, Eric Finster, Georg Biedermann, Mathieu Anel
Publikováno v: Journal of Topology. 11:1100-1132
We develop an approach to Goodwillie's calculus of functors using the techniques of higher topos theory. Central to our method is the introduction of the notion of fiberwise orthogonality, a strengthening of ordinary orthogonality which allows us to
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9dacd68f83c80eaa11097c1209ca4f45
https://doi.org/10.1112/topo.12082
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4
Calculus of functors and model categories II
Autor: Oliver Röndigs, Georg Biedermann
Publikováno v: Algebr. Geom. Topol. 14, no. 5 (2014), 2853-2913
This is a continuation, completion, and generalization of our previous joint work with B. Chorny. We supply model structures and Quillen equivalences underlying Goodwillie's constructions on the homotopy level for functors between simplicial model ca
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00910925e31c51f7735c35fc1be6534a
http://arxiv.org/abs/1305.2834
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5
Duality and small functors
Autor: Georg Biedermann, Boris Chorny
Publikováno v: Algebr. Geom. Topol. 15, no. 5 (2015), 2609-2657
The homotopy theory of small functors is a useful tool for studying various questions in homotopy theory. In this paper, we develop the homotopy theory of small functors from spectra to spectra, and study its interplay with Spanier-Whitehead duality
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::144c9fa3ae86d1aed512054fd86086de
http://arxiv.org/abs/1210.0723
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6
Homotopy nilpotent groups
Autor: Georg Biedermann, William G. Dwyer
Publikováno v: Algebraic & Geometric Topology
Algebr. Geom. Topol. 10, no. 1 (2010), 33-61
We study the connection between the Goodwillie tower of the identity and the lower central series of the loop group on connected spaces. We define the simplicial theory of homotopy n-nilpotent groups. This notion interpolates between infinite loop sp
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7
Truncated resolution model structures
Autor: Georg Biedermann
Using the dual of Bousfield-Friedlander localization we colocalize resolution model structures on cosimplicial objects over a left proper model category to get truncated resolution model structures. These are useful to study realization and moduli pr
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8
On the homotopy theory of n-types
Autor: Georg Biedermann
An n-truncated model structure on simplicial (pre-)sheaves is described having as weak equivalences maps that induce isomorphisms on certain homotopy sheaves only up to degree n. Starting from one of Jardine's intermediate model structures we constru
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