This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
Rezensionen / Stimmen
The present book, written by one of the foremost authorities on the subject, is a most timely and welcome addition to the expository literature. It is intended both as a substantial introduction to the current problems, techniques, and points of view in the theory of H-spaces, and as a research monograph for specialists, including the results obtained in the last few years.J. Weinstein Zentralblatt fuer Mathematik
The present book, written by one of the foremost authorities on the subject, is a most timely and welcome addition to the expository literature. It is intended both as a substantial introduction to the current problems, techniques, and points of view in the theory of H-spaces, and as a research monograph for specialists, including the results obtained in the last few years.J. Weinstein Zentralblatt fuer Mathematik
Reihe
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
ISBN-13
978-0-444-70464-1 (9780444704641)
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Schweitzer Klassifikation
Hopf Algebras. Classifying Spaces. Localization. The Bockstein Spectral Sequence. The Projective Plane. Reflection Groups and Classifying Spaces. Secondary Operations. The Module of Indecomposables QH*(X;Fp) p ODD. The Module of Indecomposables QH*(X;F2). K-Theory. The Hopf Algebra H*(X;Fp). Power Spaces. Appendices: Lie Groups. The Steenrod Algebra. Brown-Peterson Theory. Bibliography. Index.
