Displaying similar documents to “The Milnor-Moore theorem in Tame Homotopy theory.”

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 k of characteristic zero. If not stated otherwise, all operads live in the category of differential graded vector spaces over k . 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....

Derivations of homotopy algebras

Tom Lada, Melissa Tolley (2013)

Archivum Mathematicum

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We recall the definition of strong homotopy derivations of A ∞ algebras and introduce the corresponding definition for L ∞ algebras. We define strong homotopy inner derivations for both algebras and exhibit explicit examples of both.

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 ℰ X of a based space X consists of the family...