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Strong Shape and Homology

  • Kartonierter Einband
  • 504 Seiten
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Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 year... Weiterlesen
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Beschreibung

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."



Shape theory 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."



Inhalt
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.

Produktinformationen

Titel: Strong Shape and Homology
Autor:
EAN: 9783642085468
ISBN: 3642085466
Format: Kartonierter Einband
Herausgeber: Springer Berlin Heidelberg
Anzahl Seiten: 504
Gewicht: 756g
Größe: H235mm x B155mm x T26mm
Jahr: 2010
Auflage: Softcover reprint of hardcover 1st ed. 2000

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