Zobrazeno 1 - 10
of 116
pro vyhledávání: '"Pavlov, Dmitri A."'
Autor:
Pavlov, Dmitri
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 1913-1951
We prove that the category of diffeological spaces does not admit a model structure transferred via the smooth singular complex functor from simplicial sets, resolving in the negative a conjecture of Christensen and Wu. Embedding diffeological spaces
Externí odkaz:
http://arxiv.org/abs/2210.12845
Autor:
Pavlov, Dmitri
Publikováno v:
Journal of Pure and Applied Algebra 228:5 (2024), 107496
We prove that categories enriched in the Thomason model structure admit a model structure that is Quillen equivalent to the Bergner model structure on simplicial categories, providing a new model for (infinity,1)-categories. Along the way, we constru
Externí odkaz:
http://arxiv.org/abs/2208.02954
Autor:
Pavlov, Dmitri
Publikováno v:
Topology and its Applications 318:108203 (2022), 1--28
We prove that the class of numerable open covers of topological spaces is the smallest class that contains covers with pairwise disjoint elements and numerable covers with two elements, closed under composition and coarsening of covers. We apply this
Externí odkaz:
http://arxiv.org/abs/2203.03120
Autor:
PAVLOV, DMITRI1
Publikováno v:
Homology, Homotopy & Applications. 2024, Vol. 26 Issue 2, p375-408. 34p.
Autor:
Grady, Daniel, Pavlov, Dmitri
We prove a generalization of the cobordism hypothesis of Baez--Dolan and Hopkins--Lurie for bordisms with arbitrary geometric structures, such as Riemannian metrics, complex and symplectic structures, principal bundles with connections, or geometric
Externí odkaz:
http://arxiv.org/abs/2111.01095
Autor:
Pavlov, Dmitri
We establish a Dwyer-Kan equivalence of relative categories of combinatorial model categories, presentable quasicategories, and other models for locally presentable (infinity,1)-categories. This implies that the underlying quasicategories of these re
Externí odkaz:
http://arxiv.org/abs/2110.04679
Autor:
Grady, Daniel, Pavlov, Dmitri
We show that all extended functorial field theories, both topological and nontopological, are local. We define the smooth (infinity,d)-category of bordisms with geometric data, such as Riemannian metrics or geometric string structures, and prove that
Externí odkaz:
http://arxiv.org/abs/2011.01208
Autor:
Pavlov, Dmitri
Publikováno v:
Journal of Pure and Applied Algebra 226:4 (2022), 106884
We show that the following five categories are equivalent: (1) the opposite category of commutative von Neumann algebras; (2) compact strictly localizable enhanced measurable spaces; (3) measurable locales; (4) hyperstonean locales; (5) hyperstonean
Externí odkaz:
http://arxiv.org/abs/2005.05284
We prove that the set of concordance classes of sections of an infinity-sheaf on a manifold is representable, extending a theorem of Madsen and Weiss. This is reminiscent of an h-principle in which the role of isotopy is played by concordance. As an
Externí odkaz:
http://arxiv.org/abs/1912.10544