Elementary Fixed Point Theorems Theorem of Borsuk and Topological Transversality Homology and Fixed Points Leray-Schauder Degree and Fixed Point Index The Lefschetz-Hopf Theory Selected Topics Index
Über den Autor
Andrzej Granas studied in Warsaw and then Moscow, where he earned his doctorate in 1958 under Lazar Lusternik. Since 1958 he has held various research and teaching posts in Poland, Canada, and elsewhere. During the Spring of 1970 he occupied a special chair at the Collège de France. In the early nineties, Dr. Granas founded the journal Topological Methods of Nonlinear Analysis, and since 1992, he has served on the Editorial Board of the Zentralblatt. He is an honorary member of the Gdansk Scientific Society.
Elementary Fixed Point Theorems * Theorem of Borsuk and Topological Transversality * Homology and Fixed Points * Leray-Schauder Degree and Fixed Point Index * The Lefschetz-Hopf Theory * Selected Topics * Index
The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications.
From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS