Effective chain complexes for twisted products

Marek Filakovský

Address: Department of Mathematics and Statistics, Masaryk University Kotlářská 2, 611 37 Brno, Czech Republic

E-mail: xfilakov@math.muni.cz

Abstract: In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product $F \times _{\tau }B$ to a chain complex of free finitely generated abelian groups are found.

AMSclassification: primary 18G35; secondary 55U15.

Keywords: twisted product, reduction, chain complex.

DOI: 10.5817/AM2012-5-313