Author | Mardeลกiฤ, Sibe. author |
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Title | Strong Shape and Homology [electronic resource] / by Sibe Mardeลกiฤ |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-662-13064-3 |
Descript | XII, 489 p. online resource |
I. Coherent Homotopy -- 1. Coherent mappings -- 2. Coherent homotopy -- 3. Coherent homotopy of sequences -- 4. Coherent homotopy and localization -- 5. Coherent homotopy as a Kleisli category -- II. Strong Shape -- 6. Resolutions -- 7. Strong expansions -- 8. Strong shape -- 9. Strong shape of metric compacta -- 10. Selected results on strong shape -- III. Higher Derived Limits -- 11. The derived functors of lim -- 12. limn and the extension functors Extn -- 13. The vanishing theorems -- 14. The cofinality theorem -- 15. Higher limits on the category pro-Mod -- IV. Homology Groups -- 16. Homology pro-groups -- 17. Strong homology groups of systems -- 18. Strong homology on CH(pro-Top) -- 19. Strong homology of spaces -- 20. Spectral sequences. Abelian groups -- 21. Strong homology of compact spaces -- 22. Generalized strong homology -- References -- List of Special Symbols -- Author Index