"Aus den Besprechungen: ""Although this volume appears as a set of "Lecture Notes," in fact it is a rather polished and complete text on homotopy theory, from the viewpoint of offering a very careful examination of the foundations. The authors introduce the notion of homotopy in general, and then launch into an elaborate study of cofibrations. The second major chapter concerns fibrations. The last chapter centers around homotopy sets and groups, induced homomorphisms and exact sequences, excision in the stable range and suspension. It is a well polished piece of exposition, suitable for a...

This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We have chosen a geometrical and analytical approach since we feel that this is the easiest way to motivate and establish the theory and to indicate relations to other branches of mathematics. Lie algebras, though mentioned occasionally, are not used in an essential way. The material as well as its presentation are classical; one might say that the foundations were known to Hermann Weyl at least 50 years ago. Prerequisites to the book are standard...