Sheaf Theory

Glen E. Bredon

ISBN 10: 0387949054 / ISBN 13: 9780387949055

Edité par Springer, Springer, 1997

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book is primarily concerned with the study of cohomology theories of general topological spaces with 'general coefficient systems.' Sheaves play several roles in this study. For example, they provide a suitable notion of 'general coefficient systems.' Moreover, they furnish us with a common method of defining various cohomology theories and of comparison between different cohomology theories. The parts of the theory of sheaves covered here are those areas important to algebraic topology. Sheaf theory is also important in other fields of mathematics, notably algebraic geometry, but that is outside the scope of the present book. Thus a more descriptive title for this book might have been Algebraic Topology from the Point of View of Sheaf Theory. Several innovations will be found in this book. Notably, the concept of the 'tautness' of a subspace (an adaptation of an analogous notion of Spanier to sheaf-theoretic cohomology) is introduced and exploited throughout the book. The factthat sheaf-theoretic cohomology satisfies 1 the homotopy property is proved for general topological spaces. Also, relative cohomology is introduced into sheaf theory. Concerning relative cohomology, it should be noted that sheaf-theoretic cohomology is usually considered as a 'single space' theory.

N° de réf. du vendeur 9780387949055

Détails bibliographiques

• Titre: Sheaf Theory
• Éditeur: Springer, Springer
• Date de parution: 1997
• Langue: anglais
• ISBN à 10 chiffres: 0387949054
• ISBN à 13 chiffres: 9780387949055
• Reliure: Buch
• Édition: 2ème Édition
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 33 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 33 millimètres de profondeur
• Poids: 939 grammes

A propos de ce titre

Synopsis

This book is primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems." The reader should have a thorough background in elementary homological algebra and in algebraic topology. A list of exercises at the end of each chapter will help the student to learn the material, and solutions of many of the exercises are given in an appendix. The new edition of this classic in the field has been substantially rewritten with the addition of over 80 examples and of further explanatory material.

Présentation de l'éditeur

Primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems", the parts of sheaf theory covered here are those areas important to algebraic topology. Among the many innovations in this book, the concept of the "tautness" of a subspace is introduced and exploited; the fact that sheaf theoretic cohomology satisfies the homotopy property is proved for general topological spaces; and relative cohomology is introduced into sheaf theory. A list of exercises at the end of each chapter helps students to learn the material, and solutions to many of the exercises are given in an appendix. This new edition of a classic has been substantially rewritten and now includes some 80 additional examples and further explanatory material, as well as new sections on Cech cohomology, the Oliver transfer, intersection theory, generalised manifolds, locally homogeneous spaces, homological fibrations and p- adic transformation groups. Readers should have a thorough background in elementary homological algebra and in algebraic topology.