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Topologies on Closed and Closed Convex Sets
This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text. This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.
Unremarkable in Light
Unremarkable In Light Do you believe the old adage that whatever does not kill you will make you stronger? Earl believes this but his belief has never been put to any challenge until now. This is Earl's story of resiliance and recovery. He is a grown man now but as a child Earl's abusive step father came very close to ending his young life. The abuses and long healed scars that Earl and his mother suffered then still haunt him today more than thirty years later. This is the story of how even the most quiet voice has a story of triumph to share. From those dark days of his youth until now Earl has lived a simple and solitary life. He lives alone, has a few good friends, and has always worked ...
The Demunist
Tycoon Alton Barr, in pursuit of his life's great plateau, partakes in a relentless and great adventure to develop an ideal. This first book, titled The Demunist and set in the not-so-distant future, is an account in three parts, The Development of Flores, The Inhabitation of Flores and Alton Barr and Corvo, respectfully, of Alton's idealistic, unprecedented pursuit. The first part examines the developmental stages, where Alton's developer, Stockton Hughes, encounters a handful of complications during development. Meanwhile, Alton is engaged in a separate voyage across the globe. Part two commences with the Inhabitation, a glimpse within the ideal. Lastly, Alton Barr's pursuit heats up in great detail. Love and lust, wit and humor, euphoria and estrangement, etc. etc. compel this gripping tale, which is sure to expand the mind.
The Bookie
She’s a bounty hunter with a tragic past. He’s a police detective caught in the mafia’s crosshairs. Will they survive to deliver justice? Detective George “Mac” McGowan has a wide circle of people he cares about in Tampa Bay. With the help of his close connections and the witnesses hiding from the mob, Mac gathers evidence about the backroom gambling tables. As local tension draws his focus to the city’s outlaw motorcycle club, he wonders if it’s the club or the mafia that tracks his movements. When he meets a beautiful, independent bounty hunter, Mac realizes the balance of trust and protection. Tori St. James is a successful mobile warrant officer keeping ahead of her nightma...
Oedipus Eyes
A collection of poems, plays, essays, and short stories by Pan-African nationalist, Christopher-Gerard Isaac Harts.
Recent Trends in Ergodic Theory and Dynamical Systems
This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.
Metric Spaces And Related Analysis
This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The book delivers the concepts in an appropriate and concise manner, at the same time rich in illustrations and exercise problems. Special focus has been laid on important theorems like Baire's Category theorem, Heine-Borel theorem, Ascoli-Arzela Theorem, etc, which play a crucial role in the study of metric spaces.The additional chapter on Cofinal completeness, UC spaces and finite chainability makes the text unique of its kind. This helps the students in: Readers will also find brief discussions on various subtleties of continuity like subcontinuity, upper semi-continuity, lower semi-continuity, etc. The interested readers will be motivated to explore the special classes of functions between metric spaces to further extent.Consequently, the book becomes a complete package: it makes the foundational pillars strong and develops the interest of students to pursue research in metric spaces. The book is useful for third and fourth year undergraduate students and it is also helpful for graduate students and researchers.
Young Measures on Topological Spaces
Young measures are now a widely used tool in the Calculus of Variations, in Control Theory, in Probability Theory and other fields. They are known under different names such as "relaxed controls," "fuzzy random variables" and many other names. This monograph provides a unified presentation of the theory, along with new results and applications in various fields. It can serve as a reference on the subject. Young measures are presented in a general setting which includes finite and for the first time infinite dimensional spaces: the fields of applications of Young measures (Control Theory, Calculus of Variations, Probability Theory...) are often concerned with problems in infinite dimensional ...
