18 citations · 77 across the 30 of their papers we have counts for
34 papers
The DG-category of secondary cohomology operations
Hans-Joachim Baues, Martin Frankland
We study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed…
Eilenberg-MacLane mapping algebras and higher distributivity up to homotopy
Hans-Joachim Baues, Martin Frankland
Primary cohomology operations, i.e., elements of the Steenrod algebra, are given by homotopy classes of maps between Eilenberg--MacLane spectra. Such maps (before taking homotopy c…
2-track algebras and the Adams spectral sequence
Hans-Joachim Baues, Martin Frankland
In previous work of the first author and Jibladze, the -term of the Adams spectral sequence was described as a secondary derived functor, defined via secondary chain complexes…
Higher Toda brackets and Massey products
Hans-Joachim Baues, David Blanc, Shilpa Gondhali
We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and chain complexes and Ma…
The Third Homotopy Group as a pi_1-Module
Hans-Joachim Baues, Beatrice Bleile
It is well-known how to compute the structure of the second homotopy group of a space, , as a module over the fundamental group, , using the homology of the universal cove…
Truncated Derived Functors and Spectral Sequences
Hans-Joachim Baues, David Blanc, Boris Chorny
The term of the Adams spectral sequence may be identified with certain derived functors, and this also holds for a number of other spectral sequences. Our goal is to show how…