Fr. 49.50

Victoria Symposium on Nonstandard Analysis - University of Victoria 1972

English · Paperback / Softback

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An application of elementary model theory to topological boolean algebras.- Analytic sets in M(D).- Boundary value theorems for meromorphic functions defined in the open unit disk.- A local inverse function theorem.- Nonstandard topological vector spaces.- A non-standard integration theory for unbounded functions.- Cardinality-dependent properties of topological spaces.- Enlargements contain various kinds of completions.- Semi-reflexivity of the nonstandard hulls of a locally convex space.- Invariance of the nonstandard hulls of a uniform space.- Models of arithmetic and the semi-ring of recursive functions.- Near periods and Bohr compactifications.- Monotone complete fields.- Quantum mechanics, quantum field theory and hyper-quantum mechanics.- Topos-theoretic factorization of non-standard extensions.- A nonstandard representation of Borel measures and ?-finite measures.- A note on continuity for robinson¿s predistributions.- Field embeddings of generalized metric spaces.- Homeomorphism types of generalized metric spaces.- Conditional probabilities and uniform sets.- Omitting types in arithmetic and conservative extensions.- The strength of the Hahn-Banach theorem.- Enlarged sheaves.- A nonstandard characterization of mixed topologies.- Applications of fractional powers of delta functions.- Two topologies with the same monads.- A new variant of non-standard analysis.

List of contents

An application of elementary model theory to topological boolean algebras.- Analytic sets in M(D).- Boundary value theorems for meromorphic functions defined in the open unit disk.- A local inverse function theorem.- Nonstandard topological vector spaces.- A non-standard integration theory for unbounded functions.- Cardinality-dependent properties of topological spaces.- Enlargements contain various kinds of completions.- Semi-reflexivity of the nonstandard hulls of a locally convex space.- Invariance of the nonstandard hulls of a uniform space.- Models of arithmetic and the semi-ring of recursive functions.- Near periods and Bohr compactifications.- Monotone complete fields.- Quantum mechanics, quantum field theory and hyper-quantum mechanics.- Topos-theoretic factorization of non-standard extensions.- A nonstandard representation of Borel measures and ?-finite measures.- A note on continuity for robinson's predistributions.- Field embeddings of generalized metric spaces.- Homeomorphism types of generalized metric spaces.- Conditional probabilities and uniform sets.- Omitting types in arithmetic and conservative extensions.- The strength of the Hahn-Banach theorem.- Enlarged sheaves.- A nonstandard characterization of mixed topologies.- Applications of fractional powers of delta functions.- Two topologies with the same monads.- A new variant of non-standard analysis.

Product details

Assisted by A Hurd (Editor), A. Hurd (Editor), Albert Hurd (Editor), Loeb (Editor), P. Loeb (Editor), Peter A. Loeb (Editor)
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 31.01.2013
 
EAN 9783540066569
ISBN 978-3-540-06656-9
No. of pages 344
Dimensions 156 mm x 236 mm x 21 mm
Weight 552 g
Illustrations XX, 344 p.
Series Lecture Notes in Mathematics
Lecture Notes in Mathematics
Subject Natural sciences, medicine, IT, technology > Mathematics > Analysis

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