Mathematical Survey Lectures 1943–2004

• Κύριος συγγραφέας: Eckmann, Beno (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Θέματα: Mathematics.; Associative rings.; Rings (Algebra).; Group theory.; Differential geometry.; Algebraic topology.; Algebraic Topology.; Differential Geometry.; Associative Rings and Algebras.; Group Theory and Generalizations.

This collection traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology and differential geometry through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his ent...

Πίνακας περιεχομένων:

• L’idée de dimension
• Topologie und Algebra
• Complex-analytic manifolds
• Homotopie et dualité
• Groupes d’homotopie et dualité
• Homotopy and cohomology theory
• Simple homotopy type and categories of fractions
• Some recent developments in the homology theory of groups
• Poincaré duality groups of dimension two are surface groups
• Continuous solutions of linear equations — An old problem, its history, and its solution
• Mathematics: Questions and Answers
• Hurwitz-Radon matrices revisited: From effective solution of the Hurwitz matrix equations to Bott periodicity
• Birth of fibre spaces, and homotopy
• 4-Manifolds, group invariants, and ? 2-Betti numbers
• The Euler characteristic — a few highlights in its long history
• Topology, algebra, analysis — relations and missing links
• to ?2-methods in topology: Reduced ?2-homology, harmonic chains, ?2-Betti numbers
• Die Zukunft der Mathematik Ein Rückblick auf Hilberts programmatischen Vortrag vor 100 Jahren
• Kolmogorov and contemporary mathematics
• Is algebraic topology a respectable field?
• Social choice and topology. A case of pure and applied mathematics.