Strong Shape and Homology
Springer Berlin (Verlag)
978-3-642-08546-8 (ISBN)
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.
Erscheint lt. Verlag | 15.12.2010 |
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Reihe/Serie | Springer Monographs in Mathematics |
Zusatzinfo | XII, 489 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 754 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | Algebra • algebraic topology • Derived Limit • Homology • Homotopy • homotopy theory • Inverse System • Strong Homology • Strong Shape |
ISBN-10 | 3-642-08546-6 / 3642085466 |
ISBN-13 | 978-3-642-08546-8 / 9783642085468 |
Zustand | Neuware |
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