A History of Algebraic and Differential Topology, 1900 - 1960

• Κύριος συγγραφέας: Dieudonné, Jean (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
• Σειρά: Modern Birkhäuser Classics,
• Θέματα: Mathematics.; Differential geometry.; History.; Algebraic topology.; Algebraic Topology.; Differential Geometry.; History of Mathematical Sciences.

Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topolo...

Πίνακας περιεχομένων:

• 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.