Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Vogt, Rainer."'
Autor:
Fiedorowicz, Zbigniew, Vogt, Rainer M.
In this paper we discuss why the passage from simplicial algebras over a Cat operad to algebras over that operad involves apparently unavoidable technicalities.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1409.5973
Autor:
Vogt, Rainer.
Publikováno v:
LF.
Wuppertal, Universiẗat, Habil.-Schr., 2002.
Publikováno v:
Algebr. Geom. Topol. 16 (2016) 711-755
We develop an alternative to the May-Thomason construction used to compare operad based infinite loop machines to that of Segal, which relies on weak products. Our construction has the advantage that it can be carried out in $Cat$, whereas their cons
Externí odkaz:
http://arxiv.org/abs/1311.2817
Autor:
Farwick zum Hagen, Ferdinand H., Mathissen, Marcel, Grabiec, Tomasz, Hennicke, Tim, Rettig, Marc, Grochowicz, Jaroslaw, Vogt, Rainer, Benter, Thorsten
Publikováno v:
In Atmospheric Environment 15 November 2019 217
We extend Thomason's homotopy colimit construction in the category of permutative categories to categories of algebras over an arbitrary $\Cat$ operad and analyze its properties. We then use this homotopy colimit to prove that the classifying space f
Externí odkaz:
http://arxiv.org/abs/1109.0265
Autor:
Fiedorowicz, Zbigniew, Vogt, Rainer M.
The notion of interchange of two multiplicative structures on a topological space is encoded by the tensor product of the two operads parametrizing these structures. Intuitively one might thus expect that the tensor product of an E_m and an E_n opera
Externí odkaz:
http://arxiv.org/abs/1102.1311
Autor:
Gutiérrez, Javier J., Vogt, Rainer M.
Publikováno v:
Mathematische Zeitschrift 270 (2012), pp. 223-239
We describe a model structure for coloured operads with values in the category of symmetric spectra (with the positive model structure), in which fibrations and weak equivalences are defined at the level of the underlying collections. This allows us
Externí odkaz:
http://arxiv.org/abs/1006.2316
Publikováno v:
Algebr. Geom. Topol. 12 (2012) 469-492
This paper answers the following question: what algebraic structure on a category corresponds to an $A_n$ structure (in the sense of Stasheff) on the geometric realization of its nerve?
Comment: 24 pages (corrected a typo in punchline of a proof
Comment: 24 pages (corrected a typo in punchline of a proof
Externí odkaz:
http://arxiv.org/abs/1005.3979
Publikováno v:
Proceedings of the London Mathematical Society (3) 101 (2010), no. 1, 105-136
We give sufficient conditions for homotopical localization functors to preserve algebras over coloured operads in monoidal model categories. Our approach encompasses a number of previous results about preservation of structures under localizations, s
Externí odkaz:
http://arxiv.org/abs/0806.3983