Abstract
In previous sections of this chapter we have considered the derived limits limn as functors from the category Mod⋀ to the category Mod. In the first subsection of this section we will extend limn to a functor pro—Mod → Mod. In the next subsection we will show that the main properties of limn are preserved by this extension.
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Lisica, Ju.T., Mardesié, S. (1985d): Strong homology of inverse systems of spaces, I. Topology Appl. 19, 29–43
Lisica, Ju.T., Mardesié, S. (1985e): Strong homology of inverse systems of spaces, II. Topology Appl. 19, 45–64
Watanabe, T. (1991b): An elementary proof of the invariance of lima on proabelian groups. Glasnik Mat. 26, 177–208
Mardesié, S., Segal, J. (1982): Shape theory. The inverse system approach. North - Holland, Amsterdam
Artin, M., Mazur, B. (1969): Etale homotopy. Lecture Notes in Math. 100. Springer, Berlin Heidelberg New York
Verdier, J.-L. (1965): Equivalence essentielle des systèmes projectifs. C.R. Acad. Sci. Paris 261, 4950–4953
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© 2000 Springer-Verlag Berlin Heidelberg
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Mardešić, S. (2000). Higher limits on the category pro — Mod. In: Strong Shape and Homology. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13064-3_16
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DOI: https://doi.org/10.1007/978-3-662-13064-3_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08546-8
Online ISBN: 978-3-662-13064-3
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