Inverse Limits: From Continua to Chaos: 25 (Developments in by W.T. Ingram,William S. Mahavier

By W.T. Ingram,William S. Mahavier

Inverse limits offer a strong instrument for developing complex areas from basic ones. They also flip the examine of a dynamical procedure which include an area and a self-map right into a examine of a (likely extra advanced) area and a self-homeomorphism. In 4 chapters besides an appendix containing historical past fabric the authors improve the speculation of inverse limits. The book begins with an advent via inverse limits on [0,1] sooner than relocating to a normal remedy of the topic. designated subject matters in continuum thought whole the book. even though it isn't really a ebook on dynamics, the effect of dynamics may be obvious all through; for example, it contains reports of inverse limits with maps from households of maps which are of curiosity to dynamicists akin to the logistic and the tent families.

This ebook will function an invaluable connection with graduate scholars and researchers in continuum concept and dynamical platforms. Researchers operating in utilized parts who're learning inverse limits of their paintings also will take advantage of this ebook.

Show description

Read or Download Inverse Limits: From Continua to Chaos: 25 (Developments in Mathematics) PDF

Similar geometry & topology books

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An method through Randers areas" solely bargains with a different type of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the examine on normal Relativity idea and feature been utilized in lots of parts of the common sciences.

Mathematical Concepts

The most goal of this publication is to explain and enhance the conceptual, structural and summary contemplating arithmetic. particular mathematical constructions are used to demonstrate the conceptual method; supplying a deeper perception into mutual relationships and summary universal gains. those rules are conscientiously stimulated, defined and illustrated by means of examples in order that a number of the extra technical proofs should be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a chain of Monographs on natural and utilized arithmetic, quantity VII: glossy normal Topology makes a speciality of the tactics, operations, ideas, and ways hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The ebook first elaborates on set, cardinal and ordinal numbers, uncomplicated suggestions in topological areas, and diverse topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal features, Fractal Surfaces, and Wavelets, moment variation, is the 1st systematic exposition of the idea of neighborhood iterated functionality platforms, neighborhood fractal services and fractal surfaces, and their connections to wavelets and wavelet units. The e-book relies on Massopust’s paintings on and contributions to the idea of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and likelihood theory—to introduce readers to this fascinating topic.

Additional resources for Inverse Limits: From Continua to Chaos: 25 (Developments in Mathematics)

Example text

Download PDF sample

Rated 4.30 of 5 – based on 26 votes