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#### The Descriptive Set Theory of Polish Group Actions

Cambridge University Press 1996; US$ 53.00Research monograph on set theory by two of the world's leading researchers. more...

#### Compactifications of Symmetric and Locally Symmetric Spaces

Springer 2006; US$ 119.00Noncompact 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... more...

#### Regularity of Optimal Transport Maps and Applications

Springer 2013; US$ 29.99In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier? theorem on existence of optimal transport maps and of Caffarelli?s Theorem on Holder continuity of optimal maps. In the third... more...

#### Encyclopedia of Distances

Springer 2012; US$ 149.00This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics. Its publication coincides with intensifying research efforts into metric spaces and especially... more...

#### Dictionary of Distances

Elsevier Science 2006; US$ 210.00This 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... more...

#### Hausdorff Gaps and Limits

Elsevier Science 1994; US$ 72.95Gaps 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,... more...

#### Linear Approximations in Convex Metric Spaces and the Applicatn in the Mixture Theory of Probability

World Scientific Publishing Company 1993; US$ 95.00This book focuses on the problem of linear approximability, or decomposability for distribution functions. While questions concerning this topics had been raised long ago, only “ad hoc” procedures had been found out. Here, the author deals with the treatment of general methods for this problem. more...

#### Algebra in the Stone-Cech Compactification

De Gruyter 2011; US$ 980.00This 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... more...

#### Introduction to Uniform Spaces

Cambridge University Press 1990; US$ 45.00This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces. About half the book is devoted to relatively little-kno more...