The homotopy category of chain complexes is a homotopy category
Marek Golasiński, Grzegorz Gromadzki (1982)
Colloquium Mathematicae
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Displaying similar documents to “On the locally finite chain algebra of a proper homotopy type.”
The homotopy category of chain complexes is a homotopy category
Chain homotopy pullbacks and pushouts
Y. L. Wong (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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A proof of the Baues-Lemaire conjecture in rational homotopy theory
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This paper contains an announcement of a result, which settles the connection between various algebraic models for rational homotopy theory: the models of Quillen, Sullivan and Adams-Hilton-Anick. It is shown how this result, combined with a recent result of Anick, implies a conjecture of and [Math. Ann. 225, 219-245 (1977; Zbl 0322.55019)].We describe in some detail the construction of these models (Section 1). We present a variant of the Adams-Hilton model, which is defined in a...
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Homotopy diagrams of algebras
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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...