%0 Journal Article
%T Homological properties of cochain Differential Graded algebras
%A Anders J. Frankild
%A Peter Jorgensen
%J Mathematics
%D 2008
%I arXiv
%X Consider a local chain Differential Graded algebra, such as the singular chain complex of a pathwise connected topological group. In two previous papers, a number of homological results were proved for such an algebra: An Amplitude Inequality, an Auslander-Buchsbaum Equality, and a Gap Theorem. These were inspired by homological ring theory. By the so-called looking glass principle, one would expect that analogous results exist for simply connected cochain Differential Graded algebras, such as the singular cochain complex of a simply connected topological space. Indeed, this paper establishes such analogous results.
%U http://arxiv.org/abs/0801.1581v1