Original Articles

REMARKS ON UNIVERSAL COEFFICIENT THEOREMS FOR GENERALIZED HOMOLOGY THEORIES

Published in: Quaestiones Mathematicae
Volume 9 , issue 1-4 , 1986 , pages: 29–54

DOI: 10.1080/16073606.1986.9632107

Author(s): F.W. Bauer Dept. of Mathematics, Germany

Keywords: 55 N20 , 55 No7 , 55 U20 , 55 N15 , 55 U15

Abstract

New proofs of universal coefficient theorems for generalized homology theories (cf. ∮ 2, ∮ 3) including L. G. Brown's result, relating Brown-Douglas-Fillmore's Ext (X) with complex K-theory are presented. They are all based on a theorem asserting the existence of a chain functor for a generalized homology theory (cf. ∮ 1), which was originally designed for the construction of strong homology theories on strong shape categories.

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