engleski

Nonvanishing derived limits in shape theory

For compact Hausdorff spaces X the nth derived limit of the mth homology progroup vanishes, for all n ⩾ 2 and m ⩾ 1. The main purpose of this paper is to show that, in contradistinction to the compact case, for any choice of integers n, m ⩾ 1, there exists a paracompact space, X, whose nth derived limit of the mth homology progroup (integer coefficients) does not vanish.

derived limit ; homology progroup ; polyhedral resolution ; stronghomology ; strong shape ; abelian progroup ; exact sequence

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