Beschreibung:
"Granas-Dugundji's book is an encyclopedic survey of the classical fixed point theory of continuous mappings (the work of Poincaré, Brouwer, Lefschetz-Hopf, Leray-Schauder) and all its various modern extensions. This is certainly the most learned book ever likely to be published on this subject."
0. Introduction.- I. Elementary Fixed Point Theorems.- II. Theorem of Borsuk and Topological Transversality.- III. Homology and Fixed Points.- IV. Leray-Schauder Degree and Fixed Point Index.- V. The Lefschetz-Hopf Theory.- VI. Selected Topics.- Appendix: Preliminaries.- A. Generalities.- B. Topological Spaces.- C. Linear Topological Spaces.- D. Algebraic Preliminaries.- E. Categories and Functors.- I. General Reference Texts.- II. Monographs, Lecture Notes, and Surveys.- III. Articles.- IV. Additional References.- List of Standard Symbols.- Index of Names.- Index of Terms.