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#### Proximity Spaces

Cambridge University Press 1971; US$ 33.00This tract provides a compact introduction to the theory of proximity spaces and their generalisations. 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...

#### Optimization on Metric and Normed Spaces

Springer 2010; US$ 199.00Optimization 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... 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...

#### Invariant Distances and Metrics in Complex Analysis

De Gruyter 1993; US$ 224.00Invariant Distances and Metrics in Complex Analysis 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...

#### Groupoid Metrization Theory

Springer 2012; US$ 129.00The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique... more...

#### 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...

#### 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...