Eilenberg / Steenrod Foundations of Algebraic Topology

Erscheinungsjahr 2016
ISBN: 978-1-4008-7749-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 346 Seiten

Reihe: Princeton Legacy Library

The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra.

Originally published in 1952.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Autoren/Hrsg.

Eilenberg, Samuel

Steenrod, Norman

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

Frontmatter, pg. i
Preface, pg. vii
Contents, pg. xv
I. Axioms and general theorems, pg. 1
II. Simplicial complexes, pg. 54
III. Homology theory of simplicial complexes, pg. 76
IV. Categories and functors, pg. 108
V. Chain complexes, pg. 124
VI. Formal homology theory of simplicial complexes, pg. 162
VII. The singular homology theory, pg. 185
VIII. Systems of groups and their limits, pg. 212
IX. The Cech homology theory, pg. 233
X. Special features of the Cech theory, pg. 257
XI. Applications to Euclidean Spaces, pg. 298
Index, pg. 323