Victoria Symposium on Nonstandard Analysis University of Victoria 1972 / [electronic resource] :
edited by Albert Hurd, Peter Loeb.
- Berlin, Heidelberg : Springer Berlin Heidelberg, 1974.
- XX, 344 p. online resource.
- Lecture Notes in Mathematics, 369 0075-8434 ; .
- Lecture Notes in Mathematics, 369 .
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.
9783540379287
10.1007/BFb0065992 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510
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.
9783540379287
10.1007/BFb0065992 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510