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Fuzzy topology
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  • Topics on Continuaby Sergio Macias

    CRC Press 2005; US$ 89.95

    Papers on continuum theory show up fairly frequently in journals. Macias (Instituto de Matematicas, Mexico) gives the requisite background so often missing in descriptions of this aspect of topology, as well as some of his favorite topics, including Jones's set function T, homogeneous continua, and n-fold hyperspaces, offering the first detailed, s more...

  • Dictionary of Distancesby Michel-Marie Deza; Elena Deza

    Elsevier 2006; US$ 195.00

    This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data. The book will provide powerful resource for all researchers using Mathematics as well as for mathematicians themselves. In the time when over-specialization and terminology fences isolate researchers, this Dictionary try to be "centripedal" and "oikoumeni", providing some access and altitude of vision but without taking the route of scientific vulgarisation. This attempted balance is the main philosophy of this Dictionary which defined its structure and style. Key features: - Unicity: it is the first book treating the basic notion of Distance in whole... more...

  • Compactifications of Symmetric and Locally Symmetric Spacesby Armand Borel; Lizhen Ji

    Springer 2006; US$ 89.95

    Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications, it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part... more...

  • Hausdorff Gaps and Limitsby R. Frankiewicz; P. Zbierski

    Elsevier 1994; US$ 134.00

    Gaps and limits are two phenomena occuring in the Boolean algebra P (&ohgr;)/fin. Both were discovered by F. Hausdorff in the mid 1930's. This book aims to show how they can be used in solving several kinds of mathematical problems and to convince the reader that they are of interest in themselves. The forcing technique, which is not commonly known, is used widely in the text. A short explanation of the forcing method is given in Chapter 11. Exercises, both easy and more difficult, are given throughout the book. more...

  • Optimization on Metric and Normed Spacesby Alexander J Zaslavski

    Springer 2010; US$ 124.00

    Optimization on Metric and Normed Spaces is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the... more...

  • Proximity Spacesby S. A. Naimpally

    Cambridge University Press 1971; US$ 30.00

    This tract provides a compact introduction to the theory of proximity spaces and their generalisations. more...

  • Algebra in the Stone-Cech Compactificationby Neil Hindman; Dona Strauss

    Walter de Gruyter 2011; US$ 980.00

    This book ?now in its second revised and extended edition ?is a self-contained exposition of the theory of compact right semigroupsfor discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more. more...

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