Abstract
In this section we first define and analyze in detail the extension products Extn(A, X) of two inverse systems of modules. We then show that limn X coincides with Extn(Δ(Λ), X), where Δ(Λ) is the diagonal inverse system. The advantage of this description of limn X over the description given in 11 lies in the fact that limn X can be determined using, the same projective resolution of Δ(Λ), for all X.
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© 2000 Springer-Verlag Berlin Heidelberg
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Mardešić, S. (2000). limn and the extension functors Extn . In: Strong Shape and Homology. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13064-3_13
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DOI: https://doi.org/10.1007/978-3-662-13064-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08546-8
Online ISBN: 978-3-662-13064-3
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