Massey products and generalized bar construction

1970 ◽  
pp. 59-64
Author(s):  
James Stasheff
Keyword(s):  
Massey Products ◽  
Bar Construction

scholarly journals Transferring algebra structures up to homology equivalence

2001 ◽  
Vol 89 (2) ◽  
pp. 181 ◽  
Author(s):  
Leif Johansson ◽  
Larry Lambe
Keyword(s):  
Massey Products ◽  
Deformation Retract ◽  
Bar Construction ◽  
De Rham Theory ◽  
De Rham ◽  
Strong Deformation ◽  
Homology Equivalence

Given a strong deformation retract $M$ of an algebra $A$, there are several apparently distinct ways ([9],[19],[13],[24],[15],[18],[17]) of constructing a coderivation on the tensor coalgebra of $M$ in such a way that the resulting complex is quasi isomorphic to the classical (differential tor) [17] bar construction of $A$. We show that these methods are equivalent and are determined combinatorially by an inductive formula first given in a very special setting in [16]. Applications to de Rham theory and Massey products are given.

Massey products andH(p, q)-systems

1973 ◽  
Vol 132 (1) ◽  
pp. 1-10
Author(s):  
Donald M. Davis ◽  
Victor P. Snaith
Keyword(s):  
Massey Products

scholarly journals Compact symplectic manifolds with free circle actions, and Massey products.

1991 ◽  
Vol 38 (2) ◽  
pp. 271-283 ◽  
Author(s):  
Marisa Fernández ◽  
Alfred Gray ◽  
John W. Morgan
Keyword(s):  
Symplectic Manifolds ◽  
Circle Actions ◽  
Massey Products

Two Applications of Homology Decompositions

1975 ◽  
Vol 27 (2) ◽  
pp. 323-329 ◽  
Author(s):  
Graham Hilton Toomer
Keyword(s):  
Doctoral Dissertation ◽  
Massey Products ◽  
Cornell University ◽  
Future Paper

We show that a map of rational spaces (see Definition 1) induces a map of homology sections at each stage, and that the k'-invariants are mapped naturally. This is used to characterize rational spaces in which all (matric) Massey products vanish as wedges of rational spheres, and yields the precise Eckmann-Hilton dual of a result of M. Dyer [7]. Berstein's result on co-H spaces [3] is also deduced. These results form a part of the author's doctoral dissertation at Cornell University written under Professor I. Berstein, to whom I express my sincere thanks for his patient help and encouragement. Extensions and counterexamples will appear in a future paper.

Single-Valued Massey Products

2014 ◽  
Vol 42 (11) ◽  
pp. 4609-4618 ◽  
Author(s):  
Ido Efrat
Keyword(s):  
Massey Products
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