Dieudonné A History of Algebraic and Differential Topology, 1900 - 1960
2009
ISBN: 978-0-8176-4907-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 648 Seiten, eBook
Reihe: Modern Birkhäuser Classics
ISBN: 978-0-8176-4907-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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Autoren/Hrsg.
Weitere Infos & Material
Preface.- Notations.- Part 1. Simplicial Techniques and Homology.- Introduction.- The Work of Poincaré.- The Build-Up of 'Classical' Homology.- The Beginnings of Differential Topology.- The Various Homology and Cohomology Theories.- Part 2. The First Applications of Simplicial Methods and of Homology.- Introduction.- The Concept of Degree.- Dimension Theory and Separation Theorems.- Fixed Points.- Local Homological Properties.- Quotient Spaces and Their Homology.- Homology of Groups and Homogeneous Spaces.- Applications of Homology to Geometry and Analysis.- Part 3. Homotopy and its Relation to Homology.- Introduction.- Fundamental Group and Covering Spaces.- Elementary Notions and Early Results in Homotopy Theory.- Fibrations.- Homology of Fiberations.- Sophisticated Relations between Homotopy and Homology.- Cohomology Operations.- Generalized Homology and Cohomology.- Bibliography.- Index of Cited Names.- Subject Index.
