Foundations of Algebraic Topology - Samuel Eilenberg, Norman Steenrod

Foundations of Algebraic Topology

Buch | Hardcover
346 Seiten
2016
Princeton University Press (Verlag)
978-0-691-65329-7 (ISBN)
186,95 inkl. MwSt
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 a
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.

*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

Erscheinungsdatum
Reihe/Serie Princeton Legacy Library
Verlagsort New Jersey
Sprache englisch
Maße 152 x 235 mm
Gewicht 652 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-691-65329-1 / 0691653291
ISBN-13 978-0-691-65329-7 / 9780691653297
Zustand Neuware
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