Victoria Symposium on Nonstandard Analysis

University of Victoria 1972
Herausgegeben:Hurd, Albert; Loeb, Peter A.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 369
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-06656-9
• 1974.
• Seitenzahl: 364
• Erscheinungstermin: 25. Februar 1974
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 552g
• ISBN-13: 9783540066569
• ISBN-10: 354006656X
• Artikelnr.: 23570019

Inhaltsangabe

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.