Homological properties of cochain Differential Graded algebras

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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.
21 pages

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Rings and Algebras, K-Theory and Homology, 16E45 (Primary) 55P62 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/145698

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.1581
 http://arxiv.org/abs/0801.1581

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arXiv