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Edwards-Walsh resolutions of complexes and Abelian groups

Published online by Cambridge University Press:  17 April 2009

Katsuya Yokoi
Katsuya Yokoi
Affiliation:
Department of Mathematics, Interdisciplinary Faculty of Science and Engineering, Shimane University, Matsue, 690–8504, Japan e-mail: yokoi@math.shimane-u.ac.jp
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Abstract

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We give a necessary and sufficient condition for the existence of an Edwards-Walsh resolution of a complex. Our theorem is an extension of Dydak-Walsh's theorem to all simplicial complexes of dimension ≥ n + 2. We also determine the structure of an Abelian group with the Edwards-Walsh condition, (which was introduced by Koyama and the author).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 407 - 416
Copyright
Copyright © Australian Mathematical Society 2000

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