Topology and Borel Structure

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Publisher : Elsevier
ISBN 13 : 9780080871219
Total Pages : 130 pages
Book Rating : 4.16/5 ( download)

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Book Synopsis Topology and Borel Structure by :

Download or read book Topology and Borel Structure written by and published by Elsevier. This book was released on 2011-08-26 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology and Borel Structure

Topology and Borel structure : descriptive topology and set theory with applications to functional analysis and measure theory

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Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.09/5 ( download)

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Book Synopsis Topology and Borel structure : descriptive topology and set theory with applications to functional analysis and measure theory by : Jens Peter Reus Christensen

Download or read book Topology and Borel structure : descriptive topology and set theory with applications to functional analysis and measure theory written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology and Borel structure

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Publisher :
ISBN 13 : 9780720427103
Total Pages : 0 pages
Book Rating : 4.0X/5 ( download)

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Book Synopsis Topology and Borel structure by : Jens Peter Reus Christensen

Download or read book Topology and Borel structure written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course on Borel Sets

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Publisher : Springer
ISBN 13 : 3642854737
Total Pages : 271 pages
Book Rating : 4.36/5 ( download)

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Book Synopsis A Course on Borel Sets by : S.M. Srivastava

Download or read book A Course on Borel Sets written by S.M. Srivastava and published by Springer. This book was released on 2013-12-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The roots of Borel sets go back to the work of Baire [8]. He was trying to come to grips with the abstract notion of a function introduced by Dirich let and Riemann. According to them, a function was to be an arbitrary correspondence between objects without giving any method or procedure by which the correspondence could be established. Since all the specific functions that one studied were determined by simple analytic expressions, Baire delineated those functions that can be constructed starting from con tinuous functions and iterating the operation 0/ pointwise limit on a se quence 0/ functions. These functions are now known as Baire functions. Lebesgue [65] and Borel [19] continued this work. In [19], Borel sets were defined for the first time. In his paper, Lebesgue made a systematic study of Baire functions and introduced many tools and techniques that are used even today. Among other results, he showed that Borel functions coincide with Baire functions. The study of Borel sets got an impetus from an error in Lebesgue's paper, which was spotted by Souslin. Lebesgue was trying to prove the following: Suppose / : )R2 -- R is a Baire function such that for every x, the equation /(x,y) = 0 has a. unique solution. Then y as a function 0/ x defined by the above equation is Baire.

Variations on a Theme of Borel

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Publisher : Cambridge University Press
ISBN 13 : 1108916848
Total Pages : 366 pages
Book Rating : 4.44/5 ( download)

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Book Synopsis Variations on a Theme of Borel by : Shmuel Weinberger

Download or read book Variations on a Theme of Borel written by Shmuel Weinberger and published by Cambridge University Press. This book was released on 2022-12-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological version of rigidity for aspherical manifolds (i.e. manifolds with contractible universal covers). The Borel conjecture is now one of the central problems of topology with many implications for manifolds that need not be aspherical. Since then, the theory of rigidity has vastly expanded in both precision and scope. This book rethinks the implications of accepting his heuristic as a source of ideas. Doing so leads to many variants of the original conjecture - some true, some false, and some that remain conjectural. The author explores this collection of ideas, following them where they lead whether into rigidity theory in its differential geometric and representation theoretic forms, or geometric group theory, metric geometry, global analysis, algebraic geometry, K-theory, or controlled topology.

Computation and Logic in the Real World

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Publisher : Springer Science & Business Media
ISBN 13 : 3540730001
Total Pages : 842 pages
Book Rating : 4.02/5 ( download)

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Book Synopsis Computation and Logic in the Real World by : S. Barry Cooper

Download or read book Computation and Logic in the Real World written by S. Barry Cooper and published by Springer Science & Business Media. This book was released on 2007-06-11 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.

Von Neumann Algebras

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Publisher : Elsevier
ISBN 13 : 0080960154
Total Pages : 479 pages
Book Rating : 4.59/5 ( download)

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Book Synopsis Von Neumann Algebras by : J. Dixmier

Download or read book Von Neumann Algebras written by J. Dixmier and published by Elsevier. This book was released on 2011-08-18 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study, under the name of von Neumann algebras, those algebras generally known as “rings of operators“ or “W*-algebras.“ The new terminology, suggested by J. Dieudonng, is fully justified from the historical point of view. Certain of the results are valid for more general algebras. We have, however systematically avoided this kind of generalization, except when it would facilitate the study of von Neumann algebras themselves. Parts I and I1 comprise those results which at present appear to’be the most useful for applications, although we do not embark on the study of those applications. Part 111, which is more technical, is primarily intended for specialists; it is virtually independent of Part 11.

Direct Integral Theory

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Publisher : CRC Press
ISBN 13 : 1000111067
Total Pages : 184 pages
Book Rating : 4.64/5 ( download)

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Book Synopsis Direct Integral Theory by : O. A. Nielsen

Download or read book Direct Integral Theory written by O. A. Nielsen and published by CRC Press. This book was released on 2020-08-26 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators, direct integrals of representations, direct integrals and types of von Neumann algebras, and measures on the quasi-dual representations.

Foundations of Software Science and Computational Structures

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Publisher : Springer
ISBN 13 : 3540365761
Total Pages : 444 pages
Book Rating : 4.61/5 ( download)

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Book Synopsis Foundations of Software Science and Computational Structures by : Andrew D. Gordon

Download or read book Foundations of Software Science and Computational Structures written by Andrew D. Gordon and published by Springer. This book was released on 2003-07-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2003, held in Warsaw, Poland in April 2003.The 26 revised full papers presented together with an invited paper were carefully reviewed and selectednbsp; from 96 submissions. Among the topics covered are algebraic models; automata and language theory; behavioral equivalences; categorical models; computation processes over discrete and continuous data; computation structures; logics of programs; models of concurrent, reactive, distributed, and mobile systems; process algebras and calculi; semantics of programming languages; software specification and refinement; transition systems; and type systems and type theory.

Geometry of Quantum Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387493867
Total Pages : 426 pages
Book Rating : 4.62/5 ( download)

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Book Synopsis Geometry of Quantum Theory by : V.S. Varadarajan

Download or read book Geometry of Quantum Theory written by V.S. Varadarajan and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Available for the first time in soft cover, this book is a classic on the foundations of quantum theory. It examines the subject from a point of view that goes back to Heisenberg and Dirac and whose definitive mathematical formulation is due to von Neumann. This view leads most naturally to the fundamental questions that are at the basis of all attempts to understand the world of atomic and subatomic particles.