Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/cochain-operations-defining-steenrod-products-in-the-bar-construction-xidara4nGt
References (14)
-
(1998)
Saneblidze, The cobar construction as a cubical complex -
V Smirnov (2002)
The -structures and differentials of the Adams spectral sequenceIzvestiya: Mathematics, 66
-
E. Getzler, J. Jones (1994)
Homotopy algebra and iterated integrals for double loop spaces -
Georgia E–mail: kade@rmi.acnet.ge -
A. Razmadze Mathematical Institute Georgian Academy of Sciences 1, M. Aleksidze St -
A. Voronov, M. Gerstenhaber (1995)
Higher operations on the Hochschild complexFunctional Analysis and Its Applications, 29
-
(1996)
Saneblidze, On a multiplicative model of a fibration -
C. Berger, B. Fresse (2001)
Combinatorial operad actions on cochainsMathematical Proceedings of the Cambridge Philosophical Society, 137
-
T. Kadeishvili (2004)
Measuring the Noncommutativity of DG-AlgebrasJournal of Mathematical Sciences, 119
-
(1988)
The A(∞)-algebra Structure and Cohomology of Hochschild and Harrison -
M. Gerstenhaber (1963)
The Cohomology Structure of an Associative RingAnnals of Mathematics, 78
-
H. Baues (1981)
The double bar and cobar constructionsInternational Journal of Computer Mathematics
-
J. McClure, Jeffrey Smith (1999)
A solution of Deligne's conjecturearXiv: Quantum Algebra
-
(1998)
DG Hopf algebras with Steenrod's i-th coproducts
- Publisher
- de Gruyter
- Copyright
- © Heldermann Verlag
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.2003.115
- Publisher site
- See Article on Publisher Site
Abstract
The set of cochain operations defining Steenrod ⌣ 𝑖 -products in the bar construction 𝐵𝐶*(𝑋) is defined in terms of surjection operad. This structure extends a Homotopy G-algebra structure which defines only ⌣.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Mar 1, 2003
Keywords: Steenrod operator; bar construction; surjection operad