General Topology de N. Bourbaki

General Topology: Chapters 5–10

N. Bourbaki

This is the softcover reprint of the English translation of 1971 (available from Springer since 1989) of the first 4 chapters of Bourbaki's Topologie générale. It gives all the basics of the subject, starting from definitions. Important classes of topological spaces are studied, uniform structures are introduced and applied to topological groups. Real numbers are constructed and their properties established. Part II, comprising the later chapters, Ch. 5-10, is also available in English in softcover.

Citește tot Restrânge

	Preț	Express
Paperback (2)	425^.80 lei 6-8 săpt.
Springer Berlin, Heidelberg – 3 aug 1998	425^.80 lei 6-8 săpt.
Springer Berlin, Heidelberg – 3 aug 1998	430^.21 lei 6-8 săpt.

Preț

Express

Paperback (2)

425^.80 lei 6-8 săpt.

Springer Berlin, Heidelberg – 3 aug 1998

425^.80 lei 6-8 săpt.

Springer Berlin, Heidelberg – 3 aug 1998

430^.21 lei 6-8 săpt.

Cuprins

V: One-parameter groups.- § 1. Subgroups and quotient groups of R.- § 2. Measurement of magnitudes.- § 3. Topological characterization of the groups R and T.- § 4. Exponentials and logarithms.- Exercises for § 1.- Exercises for § 2.- Exercises for § 3.- Exercises for § 4.- Historical Note.- VI. Real number spaces and projective spaces.- § 1. Real number space Rn.- § 2. Euclidean distance, balls and spheres.- § 3. Real projective spaces.- Exercises for § 1.- Exercises for § 2.- Exercises for § 3.- Historical Note.- VII. The additive groupsRn.- § 1. Subgroups and quotient groups of Rn.- § 2. Continuous homomorphisms of Rn and its quotient groups.- § 3. Infinite sums in the groups Rn.- Exercises for § 1.- Exercises for § 2.- Exercises for § 3.- Historical Note.- VIII. Complex numbers.- § 1. Complex numbers, quaternions.- § 2. Angular measure, trigonometric functions.- § 3. Infinite sums and products of complex numbers.- § 4. Complex number spaces and projective spaces.- Exercises for § 1.- Exercises for § 2.- Exercises for § 3.- Exercises for § 4.- Historical Note.- IX. Use of real numbers in general topology.- § 1. Generation of a uniformity by a family of pseudometrics; uniformizable spaces.- § 2. Metric spaces and metrizable spaces.- § 3. Metrizable groups, valued fields, normed spaces and algebras.- § 4. Normal spaces.- § 5. Baire spaces.- § 6. Polish spaces, Souslin spaces, Borel sets.- Appendix: Infinite products in normed algebras.- Exercises for § 1.- Exercises for § 2.- Exercises for § 3.- Exercises for § 4.- Exercises for § 5.- Exercises for § 6.- Exercises for the Appendix.- Historical Note.- X. Function spaces.- §1. The uniformity of 𝔖-convergence.- § 2. Equicontinuous sets.- § 3. Special function spaces.- § 4. Approximation of continuous real-valued functions.- Exercises for § 1.- Exercises for § 2.- Exercises for § 3.- Exercises for § 4.- Historical Note.- Index of Notation.- Index of Terminology.