By W.T. Ingram,William S. Mahavier
Inverse limits offer a robust instrument for developing complex areas from easy ones. They also flip the learn of a dynamical procedure inclusive of an area and a self-map right into a research of a (likely extra advanced) area and a self-homeomorphism. In 4 chapters besides an appendix containing history fabric the authors improve the idea of inverse limits. The book begins with an advent via inverse limits on [0,1] ahead of relocating to a common remedy of the topic. precise themes in continuum thought whole the book. even though it isn't a ebook on dynamics, the impact of dynamics could be noticeable all through; for example, it contains stories of inverse limits with maps from households of maps which are of curiosity to dynamicists corresponding to the logistic and the tent families.
This booklet will function an invaluable connection with graduate scholars and researchers in continuum thought and dynamical structures. Researchers operating in utilized components who're gaining knowledge of inverse limits of their paintings also will take advantage of this e-book.