Algebraic Topology - Homotopy and Homology

Nachdruck of the 1. Auflage Berlin Heidelberg New York 1975
ISBN: 978-3-540-42750-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 526 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1660 g

Reihe: Classics in Mathematics

From the reviews: "The author has attempted an ambitious and most commendable project. […] The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. [...] This book is, all in all, a very admirable work and a valuable addition to the literature." Mathematical Reviews

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Switzer, Robert M.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

0 Some Facts from General Topology.- 1 Categories, Functors and Natural Transformations.- 2 Homotopy Sets and Groups.- 3 Properties of the Homotopy Groups.- 4 Fibrations.- 5 CW-Complexes.- 6 Homotopy Properties of CW-Complexes.- 7 Homology and Cohomology Theories.- 8 Spectra.- 9 Representation Theorems.- 10 Ordinary Homology Theory.- 11 Vector Bundles and K-Theory.- 12 Manifolds and Bordism.- 13 Products.- 14 Orientation and Duality.- 15 Spectral Sequences.- 16 Characteristic Classes.- 17 Cohomology Operations and Homology Cooperations.- 18 The Steenrod Algebra and its Dual.- 19 The Adamss Spectral Sequence and the e-Invariant.- 20 Calculation of the Cobordism Groups.

Über Autor(innen)

Robert M. Switzer was born in Tennessee (USA) in 1940.

After majoring in mathematics at Harvard College, he completed his PhD at Stanford University in 1965. He spent 5 years as lecturer at the University of Manchester, England, and then moved to Goettingen, Germany, where he has been Professor of Mathematics since 1973. In the early 1980s his research concentrated on obstruction theory in connection with holomorphic bundles on projective spaces. 

In 1984 he switched his attention to Computer Science and has been teaching and working in that field ever since.