Descriptive Set Theory and Forcing, Miller

Название: Forcing for Mathematicians
ISBN: 9814566004 ISBN-13(EAN): 9789814566001
Издательство: World Scientific Publishing
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Описание: Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In the past decade, a series of remarkable solutions to long-standing problems in C*-algebra using set-theoretic methods, many achieved by the author and his collaborators, have generated new interest in this subject. This is the first book aimed at explaining forcing to general mathematicians. It simultaneously makes the subject broadly accessible by explaining it in a clear, simple manner, and surveys advanced applications of set theory to mainstream topics.

Автор: Shelah
Название: Proper and Improper Forcing
ISBN: 1107168368 ISBN-13(EAN): 9781107168367
Издательство: Cambridge Academ
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Описание: The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning. No prior knowledge of forcing is required.

Автор: De Gandt Francois
Название: Force and Geometry in Newton`s "Principia "
ISBN: 0691602514 ISBN-13(EAN): 9780691602516
Издательство: Wiley
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Описание: In this book Francois De Gandt introduces us to the reading of Newton`s Principia in its own terms. The path of access that De Gandt proposes leads through the study of the geometrization of force. The result is a highly original meditation on the sources and meaning of Newton`s magnum opus. In Chapter I De Gandt presents a translation of and deta

Автор: Jerzy K?kol; Wies?aw Kubi?; Manuel L?pez-Pellicer
Название: Descriptive Topology in Selected Topics of Functional Analysis
ISBN: 1461430038 ISBN-13(EAN): 9781461430032
Издательство: Springer
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Описание: This self-contained volume applies recent developments and classical results to study the classes of infinite-dimensional topological vector spaces in functional analysis.

Автор: Cunningham
Название: Set Theory
ISBN: 1107120322 ISBN-13(EAN): 9781107120327
Издательство: Cambridge Academ
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Описание: Mathematicians have shown that virtually all mathematical concepts and results can be formalized within set theory. This textbook covers the fundamentals of abstract sets and develops these theories within the framework of axiomatic set theory. The proofs presented are rigorous, clear, and suitable for undergraduate and graduate students.