Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background — processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other.This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called "pointed approach" and the effects of stratification structure appearing in fuzzy sets.The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates.
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Fuzzy Topology
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Table of contents
- Contents
- Preface
- Chapter 1 Preliminaries
- Chapter 2 Fuzzy Topological Spaces
- Chapter 3 Operations on Fuzzy Topological Spaces
- Chapter 4 L-valued Stratification Spaces
- Chapter 5 Convergence Theory
- Chapter 6 Connectedness
- Chapter 7 Some Properties Related to Cardinals
- Chapter 8 Separation (I)
- Chapter 9 Separation (II)
- Chapter 10 Compactness
- Chapter 11 Compactification
- Chapter 12 Paracompactness
- Chapter 13 Uniformity and Proximity
- Chapter 14 Metric Spaces
- Chapter 15 Relations Between Fuzzy Topological Spaces and Locales
- Bibliography
- Index
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Yes, you can access Fuzzy Topology by Ying-ming Liu, Mao-kang Luo in PDF and/or ePUB format, as well as other popular books in Mathematics & Computer Science General. We have over one million books available in our catalogue for you to explore.