Iterating the bar construction.

Kadeishvili, T.; Saneblidze, S.

Displaying similar documents to “Iterating the bar construction.”

An algebraic model for homotopy fibers.

Dupont, Nicolas, Hess, Kathryn (2002)

Homology, Homotopy and Applications

Similarity:

Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.

Lazarev, A. (2003)

Homology, Homotopy and Applications

Similarity:

On the homotopy type of a chain algebra.

Benkhalifa, Mahmoud (2004)

Homology, Homotopy and Applications

Similarity:

Cochain operations defining Steenrod- $⌣_{i}$ -products in the bar construction.

Kadeishvili, T. (2003)

Georgian Mathematical Journal

Similarity:

Operations and co-operations in Morava $E$ -theory.

Hovey, Mark (2004)

Homology, Homotopy and Applications

Similarity:

Extensions of homogeneous coordinate rings to $A_{\infty}$ -algebras.

Polishchuk, A. (2003)

Homology, Homotopy and Applications

Similarity:

Crossed extensions of algebras and Hochschild cohomology.

Baues, Hans-Joachim, Minian, Elias Gabriel (2002)

Homology, Homotopy and Applications

Similarity:

Secondary cohomology and the Steenrod square.

Baues, Hans-Joachim (2002)

Homology, Homotopy and Applications

Similarity:

Rational formality of function spaces.

Vigué-Poirrier, Micheline (2007)

Journal of Homotopy and Related Structures

Similarity:

Examples of homotopy Lie algebras

Klaus Bering, Tom Lada (2009)

Archivum Mathematicum

Similarity:

We look at two examples of homotopy Lie algebras (also known as $L_{\infty}$ algebras) in detail from two points of view. We will exhibit the algebraic point of view in which the generalized Jacobi expressions are verified by using degree arguments and combinatorics. A second approach using the nilpotency of Grassmann-odd differential operators $Δ$ to verify the homotopy Lie data is shown to produce the same results.