Vanishing of derived limits of non-standard inverse systems |
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Authors: | Tuomas Korppi |
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Affiliation: | PL 68 (Gustaf Hällströmin katu 2b), 00014 Helsingin yliopisto, Finland |
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Abstract: | It is proved that for certain non-standard versions of inverse systems G of R-modules, we have for n>0.The result is applied to define a reasonably canonical non-standard resolution for an arbitrary inverse system G of R-modules, such that the application of the inverse limit functor yields a complex whose cohomology groups are isomorphic to the derived limits, limn. Furthermore, the non-standard resolution gives also the maps limng, and the connecting homomorphisms to a reasonable degree.We also prove that for miscellaneous types of inverse systems H of modules, the system H is a direct summand of . |
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Keywords: | Derived limit Non-standard model Inverse system |
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