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TitleVictoria Symposium on Nonstandard Analysis [electronic resource] : University of Victoria 1972 / edited by Albert Hurd, Peter Loeb
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1974
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Descript XX, 344 p. online resource


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 robinsonโ{128}{153}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

Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis


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