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Kobordismentheorie: 178 (Lecture Notes in Mathematics, 178) - Softcover

 
9783540053415: Kobordismentheorie: 178 (Lecture Notes in Mathematics, 178)

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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.

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Theodor Br�cker, Tammo tom Dieck
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Condition: Good. Volume 178. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:3540053417. Seller Inventory # 5775636

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 208 pp. Deutsch. Seller Inventory # 9783540053415

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Condition: Used - Very Good. 1970. Paperback. Quarto. xvi & 191 pp. Text in German. Slight shelf wear to wraps, mild creasing to spine. Altogether a copy in Very Good condition. Very Good. Seller Inventory # C65980

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Taschenbuch. Condition: 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. Seller Inventory # 9783540053415

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Paperback. Condition: Very Good. Very good- paperback. Spine is uncreased, binding tight and sturdy; text also very good. Light shelfwear, rubbing to edges of wraps. Ships from Dinkytown in Minneapolis, Minnesota. Seller Inventory # 205175

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