English

Properties of cellular classes of chain complexes

Algebraic Topology 2008-03-19 v2 Commutative Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.0802.0108,
  title  = {Properties of cellular classes of chain complexes},
  author = {Jonas Kiessling},
  journal= {arXiv preprint arXiv:0802.0108},
  year   = {2008}
}

Comments

16 pages, references added, corrected typos

R2 v1 2026-06-21T10:08:40.459Z