Elements of Mathematics: General Topology, Pt.2

General Topology - Part II [Bourbaki]......Page cover-2_0001.djvu
Title......Page 0001.djvu
Copyright......Page 0002.djvu
Advice to the Reader......Page 0003.djvu
Contents......Page 0005.djvu
5.1 Subgroups and quotient groups of R......Page 0011.djvu
5.2 Measurement of magnitudes......Page 0016.djvu
5.3 Topological characterization of the groups R and T......Page 0021.djvu
5.4 Exponentials and logarithms......Page 0023.djvu
Exercises......Page 0028.djvu
Historical Note......Page 0033.djvu
Bibliography......Page 0034.djvu
6.1 Real number space Rⁿ......Page 0035.djvu
6.2 Euclidean distance; balls and spheres......Page 0042.djvu
6.3 Real projective spaces......Page 0048.djvu
Exercises......Page 0059.djvu
Historical Note......Page 0068.djvu
Bibliography......Page 0070.djvu
7.1 Subgroups and quotient groups of Rⁿ......Page 0071.djvu
7.2 Continuous homomorphisms of Rⁿ and its quotient groups......Page 0083.djvu
7.3 Infinite sums in the groups Rⁿ......Page 0087.djvu
Exercises......Page 0091.djvu
Historical Note......Page 0101.djvu
Bibliography......Page 0103.djvu
8.1 Complex numbers, quaternions......Page 0104.djvu
8.2 Angular measure, trigonometric functions......Page 0109.djvu
8.3 Infinite sums and products of complex numbers......Page 0119.djvu
8.4 Complex number spaces and projective spaces......Page 0122.djvu
Exercises......Page 0127.djvu
Historical Note......Page 0135.djvu
Bibliography......Page 0140.djvu
9.1 Generation of a uniformity by a family of pseudometrics; uniformizable spaces......Page 0141.djvu
9.2 Metric spaces and metrizable spaces......Page 0151.djvu
9.3 Metrizable groups, valued fields, normed spaces and algebras......Page 0165.djvu
9.4 Normal spaces......Page 0183.djvu
9.5 Baire spaces......Page 0194.djvu
9.6 Polish spaces, Souslin spaces, Borel sets......Page 0199.djvu
Appendix: Infinite Products in Normed Algebras......Page 0215.djvu
Exercises......Page 0222.djvu
Appendix......Page 0272.djvu
Historical Note......Page 0275.djvu
Bibliography......Page 0277.djvu
10.1 The uniformity of S-convergence......Page 0278.djvu
10.2 Equicontinuous sets......Page 0287.djvu
10.3 Special function spaces......Page 0297.djvu
10.4 Approximation of continuous real-valued functions......Page 0312.djvu
Exercises......Page 0322.djvu
Historical Note......Page 0351.djvu
Bibliography......Page 0352.djvu
Index of Notation......Page 0353.djvu
Index of Terminology......Page 0355.djvu