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Author :
Publisher : Elsevier
ISBN 13 : 0080871216
Total Pages : 141 pages
Book Rating : 4.0/5 (88 download)
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 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology and Borel Structure
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.:/5 (467 download)
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:
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (473 download)
Download or read book Topology and Borel Structure written by Jens Peter Reus Christensen and published by . This book was released on 1972 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 : 9780720427103
Total Pages : 0 pages
Book Rating : 4.4/5 (271 download)
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:
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.0/5 ( download)
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 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download Topology and Borel Structure; Descriptive Topology and Set Theory With Applications to Functional Analysis and Measure Theory [By] J. P. R. Christensen PDF Online Free](https://books.google.com/books/content/images/frontcover/zyLwcQAACAAJ?fife=w200-h370)
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.:/5 (1 download)
Download or read book Topology and Borel Structure; Descriptive Topology and Set Theory With Applications to Functional Analysis and Measure Theory [By] J. P. R. Christensen 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:
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (466 download)
Download or read book Topology and Borel structure written by Jens Peter Reus Christensen and published by . This book was released on 1975* with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.M. Srivastava
Publisher : Springer
ISBN 13 : 3642854737
Total Pages : 271 pages
Book Rating : 4.6/5 (428 download)
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.
Author : Robert A. McCoy
Publisher : Springer
ISBN 13 : 3540391819
Total Pages : 128 pages
Book Rating : 4.5/5 (43 download)
Download or read book Topological Properties of Spaces of Continuous Functions written by Robert A. McCoy and published by Springer. This book was released on 2006-12-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. Where appropriate, the analogous theorems for the two major classes of topologies are studied together, so that a comparison can be made. A chapter on cardinal functions puts characterizations of a number of topological properties of function spaces into a more general setting: some of these results are new, others are generalizations of known theorems. Excercises are included at the end of each chapter, covering other kinds of function space topologies. Thus the book should be appropriate for use in a classroom setting as well as for functional analysis and general topology. The only background needed is some basic knowledge of general topology.
Author : A. V. Arkhangelʹskiĭ
Publisher : atlantis press
ISBN 13 : 9078677066
Total Pages : 797 pages
Book Rating : 4.0/5 (786 download)
Download or read book Topological Groups and Related Structures written by A. V. Arkhangelʹskiĭ and published by atlantis press. This book was released on 2008 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks.The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short -- almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area.
Author : Dana P. Williams
Publisher : American Mathematical Soc.
ISBN 13 : 0821842420
Total Pages : 546 pages
Book Rating : 4.8/5 (218 download)
Download or read book Crossed Products of $C^*$-Algebras written by Dana P. Williams and published by American Mathematical Soc.. This book was released on 2007 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C*$-algebras. in addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced representations via the Green-Mackey-Rieffel machine. in particular, there is an in-depth analysis of the imprimitivity theorems on which Rieffel's theory of induced representations and Morita equivalence of $C*$-algebras are based. There is also a detailed treatment of the generalized Effros-Hahn conjecture and its proof due to Gootman, Rosenberg, and Sauvageot. This book is meant to be self-contained and accessible to any graduate student coming out of a first course on operator algebras. There are appendices that deal with ancillary subjects, which while not central to the subject, are nevertheless crucial for a complete understanding of the material. Some of the appendices will be of independent interest. to view another book by this author, please visit Morita Equivalence and Continuous-Trace $C*$-Algebras.
Author : Lev Bukovský
Publisher : Springer Science & Business Media
ISBN 13 : 3034800061
Total Pages : 546 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Structure of the Real Line written by Lev Bukovský and published by Springer Science & Business Media. This book was released on 2011-03-02 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results.
Author : Shmuel Weinberger
Publisher : Cambridge University Press
ISBN 13 : 1107142598
Total Pages : 365 pages
Book Rating : 4.1/5 (71 download)
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 2022-11-30 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.
Author : Flemming Topsoe
Publisher : Springer
ISBN 13 : 3540362843
Total Pages : 94 pages
Book Rating : 4.5/5 (43 download)
Download or read book Topology and Measure written by Flemming Topsoe and published by Springer. This book was released on 2006-11-15 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.S. Varadarajan
Publisher : Springer Science & Business Media
ISBN 13 : 0387493867
Total Pages : 426 pages
Book Rating : 4.3/5 (874 download)
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.
Author : Nicolau Corção Saldanha
Publisher : American Mathematical Soc.
ISBN 13 : 0821846280
Total Pages : 247 pages
Book Rating : 4.8/5 (218 download)
Download or read book Foliations, Geometry, and Topology written by Nicolau Corção Saldanha and published by American Mathematical Soc.. This book was released on 2009 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers focus on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces.
Author : Shmuel Weinberger
Publisher :
ISBN 13 : 9781316507490
Total Pages : 0 pages
Book Rating : 4.5/5 (74 download)
Download or read book Variations on a Theme of Borel written by Shmuel Weinberger and published by . This book was released on 2023 with total page 0 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.
