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Elements of Mathematics. General Topology. Chapters 5-10. Band Chapt.5-10
von
Nicolas Bourbaki
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- ISBN:
3-540-64563-2
- Erschienen bei: Springer
- Erscheinungstermin:12.1998
- Einband:
kartoniert Pr. IV, 23,5 cm
- Seiten:
363
- Gewicht:
474 g
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Kurzbeschreibung
This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the later chapters of Bourbaki's Topologie générale. 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. TOC:One-parameter Groups.- Real Number Spaces and Projective Spaces.- The Additive Groups Rn.- Complex Numbers.- Use of Real Numbers in General Topology.- Function Spaces.- Historical Note.- Index of Notation.- Index of Terminology.
Beschreibung
This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the later chapters of Bourbaki's Topologie générale. 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.
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