Set Theory - Couverture souple

Hausdorff, Felix

Couverture souple

ISBN 10 : 1470464942 ISBN 13 : 9781470464943

Editeur : American Mathematical Society, 1957

Synopsis

In the early twentieth century, Hausdorff developed an axiomatic approach to topology, which continues to be the foundation of modern topology. The present book, the English translation of the third edition of Hausdorff's Mengenlehre, is a thorough introduction to his theory of point-set topology.

The treatment begins with topics in the foundations of mathematics, including the basics of abstract set theory, sums and products of sets, cardinal and ordinal numbers, and Hausdorff's well-ordering theorem. The exposition then specializes to point sets, where major topics such as Borel systems, first and second category, and connectedness are considered in detail. Next, mappings between spaces are introduced. This leads naturally to a discussion of topological spaces and continuous mappings between them. Finally, the theory is applied to the study of real functions and their properties.

The book does not presuppose any mathematical knowledge beyond calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first-year graduate students should have no difficulty in making the material their own.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1957
• Langue: anglais
• ISBN 10: 1470464942
• ISBN 13: 9781470464943
• Reliure: Broché
• Nombre de pages: 352
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible