326 citations
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Showing 2010 · math.ATShow all
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math.AT2010
Comparing cohomology obstructions
Hans-Joachim Baues, David Blanc
We show that three different kinds of cohomology - Baues-Wirsching cohomology, the (S,O)-cohomology of Dwyer-Kan, and the Andre-Quillen cohomology of a Pi-algebra - are isomorphic,…
math.AT2010
Self-Maps of the Product of Two Spheres Fixing the Diagonal
Hans-Joachim Baues, Beatrice Bleile
We compute the monoid of essential self-maps of of the product of two n-spheres fixing the diagonal. More generally, we consider products S x S, where S is a suspension. Essential…
math.AT2010★ 13 cited
Euler Characteristics of Categories and Homotopy Colimits
Thomas M. Fiore, Wolfgang Lück, Roman Sauer
In a previous article, we introduced notions of finiteness obstruction, Euler characteristic, and L^2-Euler characteristic for wide classes of categories. In this sequel, we prove…