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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. © 2008 Elsevier Inc. All rights reserved.
Author(s): Frankild AJ, Jorgensen P
Publication type: Article
Publication status: Published
Journal: Journal of Algebra
Year: 2008
Volume: 320
Issue: 8
Pages: 3311-3326
ISSN (print): 0021-8693
ISSN (electronic): 1090-266X
Publisher: Academic Press
URL: http://dx.doi.org/10.1016/j.jalgebra.2008.08.001
DOI: 10.1016/j.jalgebra.2008.08.001
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