General Topology: Chapters 5-10
ISBN: , SKU: , AUTHOR: Bourbaki, N. / Bourbaki, Nicolas, PUBLISHER: Springer, This is the softcover reprint of the English translation of (available from Springer since ) of the later chapters of Bourbaki's Topologie gA(c)nA(c)rale. 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.