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H. Baues (2006)
The Algebra of Secondary Cohomology Operations
H. Baues, M. Jibladze (2002)
Classification of Abelian Track CategoriesK-theory, 25
H. Baues, M. Jibladze (2004)
Secondary derived functors and the Adams spectral sequenceTopology, 45
H. Baues, M. Jibladze (2001)
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H. Baues, M. Jibladze (2001)
Suspension and Loop Objects and Representability of Tracks, 8
H. Baues, W. Dreckmann (1989)
The cohomology of homotopy categories and the general linear groupK-theory, 3
H. Baues (1989)
Algebraic homotopy. Cambridge Studies in Advanced Mathe-matics
(1977)
Baues, Obstruction theory, Lecture
H. Baues, F. Muro (2007)
The homotopy category of pseudofunctors and translation cohomologyJournal of Pure and Applied Algebra, 211
H. Baues, G. Wirsching (1985)
Cohomology of small categoriesJournal of Pure and Applied Algebra, 38
H. Baues (1977)
Obstruction Theory: On Homotopy Classification of Maps
(1992)
H3 and models for the homotopy theory
We describe a conjecture on the algebra of higher cohomology operations which leads to the computations of the differentials in the Adams spectral sequence. For this we introduce the notion of an 𝑛-th order track category suitable for studying higher order Toda brackets and the differentials in spectral sequences. We describe various examples of higher order track categories which are topological, in particular the track category of higher cohomology operations. Also, differential algebras give rise to higher order track categories.
Georgian Mathematical Journal – de Gruyter
Published: Mar 1, 2010
Keywords: Higher cohomology operations; higher homotopies; higher track categories; higher Toda brackets; higher Massey products; Adams spectral sequence; higher chain complexes
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