On the cohomology algebra of a fiber.
Menichi, Luc (2001)
Algebraic & Geometric Topology
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Displaying similar documents to “Hopf algebras up to homotopy and the Bockstein spectral sequence.”
On the cohomology algebra of a fiber.
Quillen stratification for the Steenrod algebra.
Palmieri, John H. (1999)
Annals of Mathematics. Second Series
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Coalgebra deformations of bialgebras by Harrison cocycles, copairings of Hopf algebras and double crosscoproducts.
Caenepeel, S., Dăscălescu, S., Militaru, G., Panaite, F. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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The double bar and cobar constructions
H. J. Baues (1981)
Compositio Mathematica
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Homotopy algebras via resolutions of operads
Markl, Martin
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Summary: All algebraic objects in this note will be considered over a fixed field of characteristic zero. If not stated otherwise, all operads live in the category of differential graded vector spaces over . For standard terminology concerning operads, algebras over operads, etc., see either the original paper by [“The geometry of iterated loop spaces”, Lect. Notes Math. 271 (1972; Zbl 0244.55009)], or an overview [, “La renaissance des opérads”, Sémin. Bourbaki 1994/95, Exp. No....
Homotopy diagrams of algebras
Markl, Martin
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The paper is concerned with homotopy concepts in the category of chain complexes. It is part of the author’s program to translate [ and , Homotopy invariant algebraic structures on topological spaces, Lect. Notes Math. 347, Springer-Verlag (1973; Zbl 0285.55012)] from topology to algebra.In topology the notion of operad extracts the essential algebraic information contained in the following example (endomorphism operad).The endomorphism operad of a based space consists of the family...
The Milnor-Moore theorem in Tame Homotopy theory.
Hans Scheerer, Daniel Tanré (1991)
Manuscripta mathematica
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On the locally finite chain algebra of a proper homotopy type.
Baues, Hans-Joachim, Quintero, Antonio (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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On complements and the factorization problem of Hopf algebras
Sebastian Burciu (2011)
Open Mathematics
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Two new results concerning complements in a semisimple Hopf algebra are proved. They extend some well-known results from group theory. The uniqueness of a Krull-Schmidt-Remak type decomposition is proved for semisimple completely reducible Hopf algebras.