second-order arithmetic

MLQ
2007

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Non-standard analysis in ACA0 and Riemann mapping theorem

13 years 11 months ago

Abstract. This research is motivated by the program of Reverse Mathematics and non-standard arguments in second-order arithmetic. Within a weak subsystem of second order arithmetic...

Keita Yokoyama

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APAL
2006

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Fundamental notions of analysis in subsystems of second-order arithmetic

13 years 11 months ago

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We develop fundamental aspects of the theory of metric, Hilbert, and Banach spaces in the context of subsystems of second-order arithmetic. In particular, we explore issues having...

Jeremy Avigad, Ksenija Simic

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