Partially Ordered Rings And Semi Algebraic Geometry

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Partially Ordered Rings And Semi Algebraic Geometry

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Author : Gregory W. Brumfiel
language : en
Publisher: Cambridge University Press
Release Date : 1979-12-20

Partially Ordered Rings And Semi Algebraic Geometry written by Gregory W. Brumfiel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-12-20 with Mathematics categories.

The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, as topology is usually taught, even the first, more concrete type of problem is approached using the language and methods of the second type. Professor Brumfiel's thesis is that this is unnecessary and, in fact, misleading philosophically. He develops a type of algebra, partially ordered rings, in which it makes sense to talk about solutions of equations and inequalities and to compare geometrically the resulting spaces. The importance of this approach is primarily that it clarifies the sort of geometrical questions one wants to ask and answer about those spaces which might have physical significance.

Partially Ordered Rings And Semi Algebraic Geometry

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Author : Gregory W. Brumfiel
language : en
Publisher:
Release Date : 1996

Partially Ordered Rings And Semi Algebraic Geometry written by Gregory W. Brumfiel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Categories (Mathematics) categories.

Semi Algebraic Function Rings And Reflectors Of Partially Ordered Rings

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Author : Niels Schwartz
language : en
Publisher: Springer
Release Date : 2006-11-13

Semi Algebraic Function Rings And Reflectors Of Partially Ordered Rings written by Niels Schwartz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-13 with Mathematics categories.

The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions.

Partially Ordered Rings And Semi Algebraic Geometry

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Author : Gregory W. Brumfiel
language : en
Publisher:
Release Date : 1979

Partially Ordered Rings And Semi Algebraic Geometry written by Gregory W. Brumfiel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.

The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology.

Real Analytic And Algebraic Geometry

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Author : Fabrizio Broglia
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-11

Real Analytic And Algebraic Geometry written by Fabrizio Broglia and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-11 with Mathematics categories.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Semi Algebraic Function Rings And Reflectors Of Partially Ordered Rings

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Author : Niels Schwartz
language : en
Publisher:
Release Date : 2014-01-15

Semi Algebraic Function Rings And Reflectors Of Partially Ordered Rings written by Niels Schwartz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Low Dimensional Topology And Kleinian Groups

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Author : D. B. A. Epstein
language : en
Publisher: CUP Archive
Release Date : 1986

Low Dimensional Topology And Kleinian Groups written by D. B. A. Epstein and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Volume 2 is divided into three parts: the first 'Surfaces' contains an article by Thurston on earthquakes and by Penner on traintracks. The second part is entitled 'Knots and 3-Manifolds' and the final part 'Kleinian Groups'.

Surveys In Combinatorics 1985

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Author : Ian Anderson
language : en
Publisher: Cambridge University Press
Release Date : 1985-07-25

Surveys In Combinatorics 1985 written by Ian Anderson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-07-25 with Mathematics categories.

This volume contains the invited papers at the 1985 British Combinatorial Conference presented by several distinguished mathematicians.

Finite Geometries And Designs

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Author : P. J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1981-04-16

Finite Geometries And Designs written by P. J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-04-16 with Mathematics categories.

This 1981 collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces and Steiner systems, amongst other topics.

Techniques Of Geometric Topology

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Author : Roger Fenn
language : en
Publisher: CUP Archive
Release Date : 1983-09

Techniques Of Geometric Topology written by Roger Fenn and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-09 with Mathematics categories.