11 citations · 22 across the 8 of their papers we have counts for
8 papers
Secondary derived functors and the Adams spectral sequence
Hans Joachim Baues, Mamuka Jibladze
Classical homological algebra takes place in additive categories. In homotopy theory such additive categories arise as homotopy categories of ``additive groupoid enriched categorie…
Computation of the E_3-term of the Adams spectral sequence
Hans Joachim Baues, Mamuka Jibladze
An algorithm is described giving effective determination of the second differential in the Adams spectral sequence. The algorithm is based on the notion of secondary derived functo…
Quadratic functors and one-connected two stage spaces
H. -J. Baues, T. Pirashvili
To various kinds of quadratic functors, homotopy types of two stage spaces are assigned. It is investigated what kind of homotopy types are obtainable in this way.
Shukla cohomology and additive track theories
Hans-Joachim Baues, Teimuraz Pirashvili
The approach of Quillen to the cohomology of general algebraic systems is based on simplicial methods, which are usually quite hard to deal with. The aim of this work is to give th…
Strengthening track theories
Hans-Joachim Baues, Mamuka Jibladze, Teimuraz Pirashvili
Using cohomology of categories with coefficients in natural systems it is proved that a groupoid enrichad category with pseudoproducts is pseudoequivalent to one with strict produc…
Homotopy and homology of fibred spaces
Hans-Joachim Baues, Davide L. Ferrario
We study fibred spaces with fibres in a structure category $\V$ and we show that cellular approximation, Blakers--Massey theorem, Whitehead theorems, obstruction theory, Hurewicz h…