Borel Equivalence And Isomorphism Of Coanalytic Sets
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Borel Equivalence And Isomorphism Of Coanalytic Sets
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Author : Douglas Cenzer
language : en
Publisher:
Release Date : 1984
Borel Equivalence And Isomorphism Of Coanalytic Sets written by Douglas Cenzer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Analytic sets categories.
A Course On Borel Sets
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Author : S.M. Srivastava
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-09
A Course On Borel Sets written by S.M. Srivastava and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-09 with Mathematics categories.
A thorough introduction to Borel sets and measurable selections, acting as a stepping stone to descriptive set theory by presenting such important techniques as universal sets, prewellordering, scales, etc. It contains significant applications to other branches of mathematics and serves as a self-contained reference accessible by mathematicians in many different disciplines. Written in an easily understandable style, and using only naive set theory, general topology, analysis, and algebra, it is thus well suited for graduates exploring areas of mathematics for their research and for those requiring Borel sets and measurable selections in their work.
A Course On Borel Sets
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Author : S.M. Srivastava
language : en
Publisher: Springer
Release Date : 2013-12-01
A Course On Borel Sets written by S.M. Srivastava and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
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.
An Inquiry Into The Number Of Isomorphism Classes Of Boolean Algebras And The Borel Cardinality Of Certain Borel Equivalence Relations
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Author : Michael Ray Oliver
language : en
Publisher:
Release Date : 2003
An Inquiry Into The Number Of Isomorphism Classes Of Boolean Algebras And The Borel Cardinality Of Certain Borel Equivalence Relations written by Michael Ray Oliver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Rozprawy Matematyczne
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Author :
language : en
Publisher:
Release Date : 1990
Rozprawy Matematyczne written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Fundamentals Of Infinite Dimensional Representation Theory
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Author : Raymond C. Fabec
language : en
Publisher: CRC Press
Release Date : 2018-10-03
Fundamentals Of Infinite Dimensional Representation Theory written by Raymond C. Fabec and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Mathematics categories.
Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject. From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.
Borel Equivalence Relations
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Author : Vladimir Grigorʹevich Kanoveĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Borel Equivalence Relations written by Vladimir Grigorʹevich Kanoveĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"Over the last 20 years, the theory of Borel equivalence relations and related topics have been very active areas of research in set theory and have important interactions with other fields of mathematics, like ergodic theory and topological dynamics, group theory, combinatorics, functional analysis, and model theory. The book presents, for the first time in mathematical literature, all major aspects of this theory and its applications."--BOOK JACKET.
Handbook Of The Geometry Of Banach Spaces
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Author :
language : en
Publisher: Elsevier
Release Date : 2003-05-06
Handbook Of The Geometry Of Banach Spaces written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-06 with Mathematics categories.
Handbook of the Geometry of Banach Spaces
Invariant Descriptive Set Theory
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Author : Su Gao
language : en
Publisher: CRC Press
Release Date : 2008-09-03
Invariant Descriptive Set Theory written by Su Gao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-03 with Mathematics categories.
Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathem
Perspectives In Mathematical Science Ii Pure Mathematics
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Author : N S Narasimha Sastry
language : en
Publisher: World Scientific
Release Date : 2009-07-01
Perspectives In Mathematical Science Ii Pure Mathematics written by N S Narasimha Sastry and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-01 with Mathematics categories.
This book presents a collection of invited articles by distinguished Mathematicians on the occasion of the Platinum Jubilee Celebrations of the Indian Statistical Institute, during the year 2007. These articles provide a current perspective of different areas of research, emphasizing the major challenging issues. Given the very significant record of the Institute in research in the areas of Statistics, Probability and Mathematics, distinguished authors have very admirably responded to the invitation. Some of the articles are written keeping students and potential new entrants to an area of mathematics in mind. This volume is thus very unique and gives a perspective of several important aspects of mathematics.