Results 1 to 10 of about 2,632 (59)
Homological epimorphisms, homotopy epimorphisms and acyclic maps [PDF]
Forum Mathematicum, 2020 Abstract We show that the notions of homotopy epimorphism and homological epimorphism in the category of differential graded algebras are equivalent. As an application we obtain a characterization of acyclic maps of topological spaces in terms of induced maps of their chain algebras of based loop spaces.
Joseph Chuang, Andrey Lazarev
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Analytification, localization and homotopy epimorphisms
Bulletin des Sciences Mathématiques, 2022 We study the interaction between various analytification functors, and a class of morphisms of rings, called homotopy epimorphisms. An analytification functor assigns to a simplicial commutative algebra over a ring $R$, along with a choice of Banach structure on $R$, a commutative monoid in the monoidal model category of simplicial ind-Banach $R ...
Oren Ben-Bassat, Devarshi Mukherjee
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Smashing localizations of rings of weak global dimension at most one [PDF]
, 2016 We show for a ring R of weak global dimension at most one that there is a bijection between the smashing subcategories of its derived category and the equivalence classes of homological epimorphisms starting in R. If, moreover, R is commutative, we prove
Bazzoni, Silvana, Stovicek, Jan
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Homotopy epimorphisms and derived tate’s acyclicity for commutative C*-algebras
The Quarterly Journal of Mathematics, 2022 Abstract We study homotopy epimorphisms and covers formulated in terms of derived Tate’s acyclicity for commutative $C^*$-algebras and algebras of continuous functions valued in non-Archimedean valued fields. We prove that a homotopy epimorphism between commutative $C^*$-algebras precisely corresponds to a closed immersion between the ...
Federico Bambozzi, Tomoki Mihara
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Note on Epimorphisms and Monomorphisms in Homotopy Theory [PDF]
Proceedings of the American Mathematical Society, 1984 We study epimorphisms e : X → X e:X \to X and monomorphisms m : X → X m:X \to X in the pointed homotopy category of path-connected CW-spaces.
Hilton, Peter, Roitberg, Joseph
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Homotopy groups of generic leaves of logarithmic foliations [PDF]
, 2019 We study the homotopy groups of generic leaves of logarithmic foliations on complex projective manifolds. We exhibit a relation between the homotopy groups of a generic leaf and of the complement of the polar divisor of the logarithmic foliation.Comment:
Rodríguez-Guzmán, Diego
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Homotopy epimorphisms in homotopy pullbacks
Topology and its Applications, 1994 The authors prove that homotopy epimorphisms are preserved under homotopy pullback. (A map \(f: X\to Y\) of pointed path-connected CW-spaces is a homotopy epimorphism, if given \(u,v: Y\to Z\), \(u\circ f\simeq v\circ f\) implies \(u\simeq v\).) The proof makes use of \textit{M. Mather}'s first cube theorem [Can. J. Math.
Hong, Lin, Wenhuai, Shen
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Epimorphisms and monomorphisms in homotopy [PDF]
Proceedings of the American Mathematical Society, 1992 The main result of this note is the following: Theorem A. If f : X → Y f:X \to Y is an epimorphism of H C W ∗ \mathcal {H}\mathcal {C}{\mathcal {W}^*} , the ...
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Homotopy-epimorphisms, homotopy-monomorphisms and homotopy-equivalences
Topology and its Applications, 1992 In a general category, a morphism which is both an epimorphism and a monomorphism need not be an equivalence. However, the authors prove that it is in the case of the homotopy category of pointed path-connected CW- spaces. In fact, they obtain this result as a corollary of a variant of a classical theorem of J. H. C. Whitehead that they prove.
Dyer, Eldon, Roitberg, Joseph
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Principal infinity-bundles - General theory [PDF]
, 2015 The theory of principal bundles makes sense in any infinity-topos, such as that of topological, of smooth, or of otherwise geometric infinity-groupoids/infinity-stacks, and more generally in slices of these.
B Toën +10 more
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