Eckmann Mathematical Survey Lectures 1943-2004

1. Auflage 2006
ISBN: 978-3-540-33791-1
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)

E-Book, Englisch, 266 Seiten

This collection of survey lectures in mathematics traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Technical University (ETH) at Zurich, as student, lecturer, professor, and professor emeritus.

Autoren/Hrsg.

Eckmann, Beno

Inhaltsverzeichnis

1;Beno Eckmann;4
2;Preface;7
3;Table of Contents;8
4;L'idee de dimension;9
5;Topologie und Algebra;25
6;Complex-analytic manifolds;35
7;Homotopie et dualite;43
8;Groupes d'homotopie et dualite;56
9;Homotopy and cohomology theory;67
10;Simple homotopy type and categories of fractions;82
11;Some recent developments in the homology theory of groups;97
12;Poincare duality groups of dimension two are surface groups;112
13;Continuous solutions of linear equations - An old problem, its history, and its solution;123
14;Mathematics: Questions and Answers;137
15;Hurwitz-Radon matrices revisited: From effective solution of the Hurwitz matrix equations to Bott periodicity;143
16;Birth of fibre spaces, and homotopy;156
17;4- Manifolds5 group invariants, and 4- Betti numbers;167
18;The Euler characteristic - a few highhghts in its long history;176
19;Topology, algebra, analysis relations and missing links;188
20;Introduction to ^- methods in topology: Reduced 4- homology, harmonic chains, 4- Betti numbers;196
21;Die Zukunft der Mathematik Ein Riickblick auf Hilberts programmatischen Vortrag vor 100 Jahren;233
22;Kolmogorov and contemporary mathematics;239
23;Is algebraic topology a respectable field?;243
24;Social choice and topology. A case of pure and applied mathematics;255