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arxiv: 0802.0108 · v2 · submitted 2008-02-01 · 🧮 math.AT · math.AC

Properties of cellular classes of chain complexes

classification 🧮 math.AT math.AC
keywords cellularbelongschainclassescomplexespropertiesacycliccertain
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In this paper we prove certain properties of cellular and acyclic classes of chain complexes of modules over a commutative Noetherian ring. In particular we show that if X is finite and belongs to some cellular class C then \Sigma^n H_X also belongs to C, for every n.

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