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Verlag: Berlin-Heidelberg-New York, Springer Verlag, 1970
ISBN 10: 3540053417ISBN 13: 9783540053415
Anbieter: Pallas Books Antiquarian Booksellers, Leiden, Niederlande
Buch
paperbound, 8vo 191 pp. very good condition (clean, no pencil or ink annotations, no stamps).
Verlag: Springer Berlin Heidelberg, 1970
ISBN 10: 3540053417ISBN 13: 9783540053415
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - These notes were taken from lectures given by tom Dieck in the win ter-term 1969/70 at the Mathematical Institute in Heidelberg. The aim of the lectures was to introduce the students to cobordism theory and to propagate ideas of Boardman and Quillen about the calculation of cobordism theories with the aid of formal groups. These notes give an enlarged version of the leetures with many details and proofs filled in. A chapter on unitary cobordism has been left out and will appear separately. The eontents of the notes are as follows: In chapter I we recall those parts of differential topology and of the theory of veetor bundles which we will use. This~ only to re wind the reader of well known faets or to give hints at neeessary pre requisites to students willing to learn differential topology. Apart from these faets we assume knowledge of elementary homotopy theory and classical cohomology with coefficients in l2 , characterized by the Eilenberg-Steenrod axioms. In chapter II the (non oriented) bordism homology theory N.(-) is defined by singular manifolds. We verify the axioms of a homology theory. Our approach differs from that of Conner and Floyd [4] in that we only define absolute homology groups and use a system of axioms in which an exact sequence of Mayer-Vietoris type plays the main role.