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Strong Shape and Homology Sibe Mardesic

Strong Shape and Homology By Sibe Mardesic

Strong Shape and Homology by Sibe Mardesic

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Summary

Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: If we need a book in the field, this is it! It is thorough, careful and complete.

Strong Shape and Homology Summary

Strong Shape and Homology by Sibe Mardesic

Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: If we need a book in the field, this is it! It is thorough, careful and complete.

Table of Contents

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.

Additional information

NPB9783540661986
9783540661986
3540661980
Strong Shape and Homology by Sibe Mardesic
Sibe Mardesic
Springer Monographs in Mathematics
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
1999-11-22
489
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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