224 research outputs found

    Beno Eckmann Interview undated

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    NOTE: to view these items please visit http://dynkincollection.library.cornell.eduUndated interview conducted by Eugene Dynkin with Beno Eckmann in Zurich, Switzerland

    Beno Eckmann 1917-2008

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    Am 25. November 2008 verstarb Beno Eckmann in seinem 92. Lebensjahr. Dieser Nachruf beleuchtet Leben und Werk dieses bedeutenden Vertreters der Algebra und der Topologi

    Mathematical Survey Lectures 1943-2004

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    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. Eckmann has been associated with the Swiss Federal Institute of Technology Zurich (ETH), as student, lecturer, professor, and professor emeritus

    Homotopy Theory in Abelian Categories

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    The concept of homotopy for homomorphisms of modules, suggested by analogy with fundamental properties of the topological homotopy, was developed by Eckmann and Hilton (3; 9; 10). In the present paper, this concept of homotopy is generalized to additive categories with an additional structure, and the theory of homotopy, including in particular various exact homotopy sequences, is established in full detail. It may be helpful to the reader to realize that most of our theorems, concepts, and constructions have their analogues in the homotopy theory of topological spaces. Many of these analogues may be found in a recent paper by Eckmann and Hilton (4). Explicit references will be given at various places in the paper.</jats:p

    Social choice and topology a case of pure and applied mathematics

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    AbstractThe existence of a social choice model on a preference space P is a topological, even homotopical problem. It has been solved 50 years ago, under different terminology, by the author and, a little later, jointly with T. Ganea and P.J. Hilton. P must be an H-space and either contractible or homotopy equivalent to a product of Eilenberg-MacLane spaces over the rationals
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