Jean Dieudonné 
A History of Algebraic and Differential Topology, 1900 – 1960 [PDF ebook] 

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Table of Content

Simplicia1 Techniques and Homology.- The Work of Poincar#x00E9;.- The Build-Up of #x201C;Classical#x201D; Homology.- The Beginnings of Differential Topology.- The Various Homology and Cohomology Theories.- The First Applications of Simplicia1 Methods and of Homology.- The Concept of Degree.- Dimension Theory and Separation Theorems.- Fixed Points.- Local Homological Properties.- Quotient Spaces and Their Homology.- Homolagy of Groups and Homogeneous Spaces.- Applications of Homology to Geometry and Analysis.- Homotopy and its Relution to Homology.- Fundamental Group and Covering Spaces.- Elementary Notions and Early Results in Homotopy Theory.- Fibrations.- Homology of Fibrations.- Sophisticated Relations between Homotopy and Homology.- Cohomology Operations.- Generalized Homology and Cohomology.
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Language English ● Format PDF ● Pages 648 ● ISBN 9780817649074 ● File size 175.2 MB ● Publisher Birkhäuser Boston ● City MA ● Country US ● Published 2009 ● Downloadable 24 months ● Currency EUR ● ID 4897352 ● Copy protection Social DRM

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