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#### 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...

#### Recent Progress in General Topology III

Springer 2013; US$ 189.00The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. more...

#### Topology in Ordered Phases (With Cd-Rom)

World Scientific Publishing Company 2006; US$ 287.00The concept of topology has become commonplace in various scientific fields. The next stage is to bring together the knowledge accumulated in these fields. This volume contains articles on experiments and theories in connection with topology, including wide-ranging fields such as materials science, superconductivity, charge density waves, superfluidity,... more...

#### Dynamics and Symmetry

World Scientific Publishing Company 2007; US$ 234.00This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques,... more...

#### Topological Methods for Set-Valued Nonlinear Analysis

World Scientific Publishing Company 2008; US$ 255.00This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and... more...

#### Introduction to Topology and Geometry

Wiley 2014; US$ 125.00An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised... more...

#### Bitopological Spaces

Elsevier Science 2005; US$ 225.00This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire... more...

#### Explorations in Topology

Elsevier Science 2007; US$ 46.95This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course. The innovative story-line style of the text models the problems-solving... more...

#### Encyclopedia of General Topology

Elsevier Science 2003; US$ 235.00This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs... 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...