General Topology: Chapters 5–10: 16 (Ettore Majorana International Science) - Softcover

Bourbaki, N.

Softcover

ISBN 10: 3540645632 ISBN 13: 9783540645634

Publisher: Springer, 1998

Synopsis

This is the softcover reprint of the 1974 English translation of the later chapters of Bourbaki’s Topologie Generale. Initial chapters study subgroups and quotients of R, real vector spaces and projective spaces, and additive groups Rn. Analogous properties are then studied for complex numbers. Later chapters illustrate the use of real numbers in general topology and discuss various topologies of function spaces and approximation of functions.

About this title

Synopsis

This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the later chapters of Bourbaki's Topologie generale. It completes the treatment of general topology begun in Part I (Ch. 1-4, also available in English in softcover). The real numbers having been introduced in Ch. 4, the first chapters of this volume study subgroups and quotients of R (with applications to the 'measurement of magnitudes' and to the log and exp functions), then real vector spaces and projective spaces, then the additive groups Rn (subgroups, quotients, homomorphisms, infinite sums and products). Analogous properties are then studied for complex numbers, in Ch.8. Chapter 9 illustrates the use of real numbers in general topology, studying different important kinds of topological spaces: uniformizable, metric, normal Baire, Polish, Borel spaces.The final chapter deals with the various topologies of function spaces,ending with a section on approximation of functions.

Edition details

• Publisher: Springer
• Publication date: 1998
• Language: English
• ISBN 10: 3540645632
• ISBN 13: 9783540645634
• Binding: Paperback
• Edition number: 1
• Number of pages: 367