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Fibrewise Homotopy Theory by M. C. Crabb - M. C. Crabb
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M. C. Crabb:

Fibrewise Homotopy Theory by M. C. Crabb - used book

ISBN: 9781852330149

Topology occupies a central position in modern mathematics, and the concept of the fibre bundle provides an appropriate framework for studying differential geometry. Fibrewise homotopy th… More...

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Crabb, Michael Charles und Ioan Mackenzie James:

Fibrewise Homotopy Theory - First edition

1998, ISBN: 1852330147

Hardcover

[EAN: 9781852330149], Gebraucht, sehr guter Zustand, [SC: 0.0], [PU: Springer London], HOMOTOPY THEORY,HOMOLOGY,MANIFOLD,DIFFERENTIAL GEOMETRY,TOPOLOGY,HOMOTOPY,, Gebrauchs- und Lagerspur… More...

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Fibrewise Homotopy Theory - Crabb, Michael Charles und Ioan Mackenzie James
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Crabb, Michael Charles und Ioan Mackenzie James:
Fibrewise Homotopy Theory - First edition

1998

ISBN: 9781852330149

[PU: Springer London], Gebrauchs- und Lagerspuren. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. 204976/203, DE, [SC: 0.00], gebraucht; gut, gewerbliches Ange… More...

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Crabb, Michael Charles, James, Ioan Mackenzie:
Fibrewise Homotopy Theory (Springer Monographs in Mathematics) - hardcover

1998, ISBN: 1852330147

[EAN: 9781852330149], Gebraucht, sehr guter Zustand, [PU: Springer], May contain minor cover/edge/spine/reading wear. May contain minimal notes and/or highlighting. Overall in great condi… More...

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Crabb, James,:
Fibrewise Homotopy Theory - new book

ISBN: 9781852330149

Springer, 1998. 1st. New., Springer, 1998, 6

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Fibrewise Homotopy Theory
Author:
Title:
ISBN:

1852330147


Topology occupies a central position in the mathematics of today. The concept of the fibre bundle provides an appropriate framework for studying differential geometry. There is a large amount of literature on this subject already, so this book fulfils its aim of being a research stimulant and develops theories such as homotopy, equivariant homotopy, fibrewise homotopy and much more. Part 2 does assume a certain familiarity with the basic ideas from Part 1, but is written in such a way that the reader interested mainly in stable theory should be able to begin with Part 2 and refer back to Part 1 as necessary. Details on specific sections can be found in the introductions at the beginning of each part.

Details of the book - Fibrewise Homotopy Theory


EAN (ISBN-13): 9781852330149
ISBN (ISBN-10): 1852330147
Hardcover
Paperback
Publishing year: 1998
Publisher: Springer
344 Pages
Weight: 0,644 kg
Language: eng/Englisch

Book in our database since 2007-07-06T20:15:20-04:00 (New York)
Detail page last modified on 2024-01-20T04:32:29-05:00 (New York)
ISBN/EAN: 1852330147

ISBN - alternate spelling:
1-85233-014-7, 978-1-85233-014-9
Alternate spelling and related search-keywords:
Book author: crabb, james michael, charles james
Book title: homotopy theory, springer mathematics

Information from Publisher

Author: Michael Charles Crabb; Ioan Mackenzie James
Title: Springer Monographs in Mathematics; Fibrewise Homotopy Theory
Publisher: Springer; Springer London
341 Pages
Publishing year: 1998-08-27
London; GB
Weight: 0,640 kg
Language: English
85,55 € (DE)
87,95 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Mathematik/Geometrie; Topologie; Verstehen; homotopy theory; homology; manifold; differential geometry; topology; Homotopy; C; Topology; Mathematics and Statistics; Manifolds and Cell Complexes (incl. Diff.Topology); Analytische Geometrie; Analytische Topologie; BC; EA

I. A Survey of Fibrewise Homotopy Theory.- 1: An Introduction to Fibrewise Homotopy Theory.- 1. Fibrewise spaces.- 2. Fibrewise transformation groups.- 3. Fibrewise homotopy.- 4. Fibrewise cofibrations.- 5. Fibrewise fibrations.- 6. Numerable coverings.- 7. Fibrewise fibre bundles.- 8. Fibrewise mapping-spaces.- 2: The Pointed Theory.- 9. Fibrewise pointed spaces.- 10. Fibrewise one-point (Alexandroff) compactification.- 11. Fibrewise pointed homotopy.- 12. Fibrewise pointed cofibrations.- 13. Fibrewise pointed fibrations.- 14. Numerable coverings (continued).- 15. Fibrewise pointed mapping-spaces.- 16. Fibrewise well-pointed and fibrewise non-degenerate spaces.- 17. Fibrewise complexes.- 18. Fibrewise Whitehead products.- 3: Applications.- 19. Numerical invariants.- 20. The reduced product (James) construction.- 21. Fibrewise Hopf and coHopf structures.- 22. Fibrewise manifolds.- 23. Fibrewise configuration spaces.- II. An Introduction to Fibrewise Stable Homotopy Theory.- 1: Foundations.- 1. Fibre bundles.- 2. Complements on homotopy theory.- 3. Stable homotopy theory.- 4. The Euler class.- 2: Fixed-point Methods.- 5. Fibrewise Euclidean and Absolute Neighbourhood Retracts.- 6. Lefschetz fixed-point theory for fibrewise ENRs.- 7. Fixed-point theory for fibrewise ANRs.- 8. Virtual vector bundles and stable spaces.- 9. The Adams conjecture.- 10. Duality.- 3: Manifold Theory.- 11. Fibrewise differential topology.- 12. The Pontrjagin-Thom construction.- 13. Miller’s stable splitting of U(n).- 14. Configuration spaces and splittings.- 4: Homology Theory.- 15. Fibrewise homology.- References.
Ioan James is an Internationally well-known expert in this field and an experienced author * Fibrewise Homotopy Theory is a very large subject that has attracted a good deal of research in recent years * The authors provide an overview of fibrewise homotopy theory as it stands at present; a kind of expository survey * Ioan James has been interested in this subject for a number of years, and in addition to the expository text, a good deal of the material is completely new * The main advantage of this monograph is that one does not have to be an expert in classical stable theory to understand and enjoy it
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