Victoria Symposium on Nonstandard Analysis : University of Victoria, 1972
著者
書誌事項
Victoria Symposium on Nonstandard Analysis : University of Victoria, 1972
（Lecture notes in mathematics, 369）
Springer-Verlag, [2006]
[Reproduction]
- タイトル別名
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Nonstandard Analysis
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注記
Originally published 1974
Publisher's information: http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=369
Includes bibliographical references
内容説明・目次
目次
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.
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