Second-order Non-nonstandard Analysis |
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| Authors: | Henle J. M. |
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| Affiliation: | (1) Clark Science Center, Smith College, Northampton, MA, USA |
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| Abstract: | Following [3], we build higher-order models of analysis resembling the frameworks of nonstandard analysis. The models are entirely canonical, constructed without Choice. Weak transfer principles are developed and the models are applied to topology, graph theory, and measure theory. A Loeb-like measure is constructed. |
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| Keywords: | measures nonstandard analysis second-order models |
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