Topology II

Homotopy and Homology. Classical Manifolds
1. Auflage. Softcover version of original hardcover Auflage 2004
ISBN: 978-3-642-08084-5
Verlag: Springer

Buch, Englisch, 258 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 417 g

Reihe: Encyclopaedia of Mathematical Sciences

Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.

Zielgruppe

Research

Autoren/Hrsg.

Fuchs, D. B.

Viro, O. Ya.

Rokhlin, V.A.

Novikov, S. P.

Weitere Mitwirkende

Shaddock, C.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

Part I. Introduction to Homotopy Theory by O.Ya.Viro and D.B.Fuchs: 1. Basic Concepts.- 2. Bundle Techniques.- 3. Cellular Techniques.- 4. The Simplest Calculations.- Part II. Homology and Cohomology by O.Ya. Viro and D.B.Fuchs: 1. Additive Theory.- 2. Multiplicative Theory.- 3. Obstructions, Characteristic Classes and Cohomology Operations.- References.- Part III. Classical Manifolds by D.B.Fuchs: Introduction.- 1. Spheres.- 2. Lie Groups and Stiefel Manifolds.- 3. Grassman Manifolds and Spaces.- 4. Some Other Important Homogeneous Spaces.- 5. Some Manifolds of Low Dimension.- References.