Victoria Symposium on Nonstandard Analysis : University of Victoria, 1972 : [proceedings]
著者
書誌事項
Victoria Symposium on Nonstandard Analysis : University of Victoria, 1972 : [proceedings]
（Lecture notes in mathematics, 369）
Springer-Verlag, 1974
- : Germany
- : U.S.
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注記
"The Symposium on ... held at the University of Victoria in Victoria, Canada during the period May 8-11, 1972"
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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