Victoria Symposium on Nonstandard Analysis: University of Victoria 1972 [1 ed.] 9780387066561, 0-387-06656-X
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English Pages 344 [356] Year 1974
Table of contents :
An application of elementary model theory to topological boolean algebras....Pages 1-4
Analytic sets in M (D)....Pages 5-22
Boundary value theorems for meromorphic functions defined in the open unit disk....Pages 23-33
A local inverse function theorem....Pages 34-36
Nonstandard topological vector spaces....Pages 37-39
A non-standard integration theory for unbounded functions....Pages 40-49
Cardinality-dependent properties of topological spaces....Pages 50-59
Enlargements contain various kinds of completions....Pages 60-70
Semi-reflexivity of the nonstandard hulls of a locally convex space....Pages 71-84
Invariance of the nonstandard hulls of a uniform space....Pages 85-98
Models of arithmetic and the semi-ring of recursive functions....Pages 99-105
Near periods and Bohr compactifications....Pages 106-112
Monotone complete fields....Pages 113-115
Quantum mechanics, quantum field theory and hyper-quantum mechanics....Pages 116-121
Topos-theoretic factorization of non-standard extensions....Pages 122-143
A nonstandard representation of Borel measures and σ-finite measures....Pages 144-152
A note on continuity for robinson’s predistributions....Pages 153-154
Field embeddings of generalized metric spaces....Pages 155-170
Homeomorphism types of generalized metric spaces....Pages 171-179
Conditional probabilities and uniform sets....Pages 180-194
Omitting types in arithmetic and conservative extensions....Pages 195-202
The strength of the Hahn-Banach theorem....Pages 203-248
Enlarged sheaves....Pages 249-260
A nonstandard characterization of mixed topologies....Pages 261-271
Applications of fractional powers of delta functions....Pages 272-302
Two topologies with the same monads....Pages 303-312
A new variant of non-standard analysis....Pages 313-339
An application of elementary model theory to topological boolean algebras....Pages 1-4
Analytic sets in M (D)....Pages 5-22
Boundary value theorems for meromorphic functions defined in the open unit disk....Pages 23-33
A local inverse function theorem....Pages 34-36
Nonstandard topological vector spaces....Pages 37-39
A non-standard integration theory for unbounded functions....Pages 40-49
Cardinality-dependent properties of topological spaces....Pages 50-59
Enlargements contain various kinds of completions....Pages 60-70
Semi-reflexivity of the nonstandard hulls of a locally convex space....Pages 71-84
Invariance of the nonstandard hulls of a uniform space....Pages 85-98
Models of arithmetic and the semi-ring of recursive functions....Pages 99-105
Near periods and Bohr compactifications....Pages 106-112
Monotone complete fields....Pages 113-115
Quantum mechanics, quantum field theory and hyper-quantum mechanics....Pages 116-121
Topos-theoretic factorization of non-standard extensions....Pages 122-143
A nonstandard representation of Borel measures and σ-finite measures....Pages 144-152
A note on continuity for robinson’s predistributions....Pages 153-154
Field embeddings of generalized metric spaces....Pages 155-170
Homeomorphism types of generalized metric spaces....Pages 171-179
Conditional probabilities and uniform sets....Pages 180-194
Omitting types in arithmetic and conservative extensions....Pages 195-202
The strength of the Hahn-Banach theorem....Pages 203-248
Enlarged sheaves....Pages 249-260
A nonstandard characterization of mixed topologies....Pages 261-271
Applications of fractional powers of delta functions....Pages 272-302
Two topologies with the same monads....Pages 303-312
A new variant of non-standard analysis....Pages 313-339
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- Albert Hurd
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