Homotopical Topology. Dieser Artikel ist nicht verfügbar.Homotopical Topology

This item is printed on demand - Print on Demand Titel. Neuware -This classic text of the renowned Moscow mathematical school equips the aspiring mathematician with a solid grounding in the core of topology, from a homotopical perspective. Its comprehensiveness and depth of treatment are unmatched among topology textbooks: in addition to covering the basics-the fundamental notions and constructions of homotopy theory, covering spaces and the fundamental group, CW complexes, homology and cohomology, homological algebra-the book treats essential advanced topics, such as obstruction theory, characteristic classes, Steenrod squares, K-theory and cobordism theory, and, with distinctive thoroughness and lucidity, spectral sequences. The organization of the material around the major achievements of the golden era of topology-the Adams conjecture, Bott periodicity, the Hirzebruch-Riemann-Roch theorem, the Atiyah-Singer index theorem, to name a few-paints a clear picture of the canon of the subject. Grassmannians, loop spaces, and classical groups playa central role in mathematics, and therefore in the presentation of this book, as well.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 640 pp. Englisch.…