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    MLQ
    2007
    65views more  MLQ 2007»
    Non-standard analysis in ACA0 and Riemann mapping theorem
    14 years 6 months ago
    Non-standard analysis in ACA0 and Riemann mapping theorem
    Download  www.math.tohoku.ac.jp
    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
    62views more  APAL 2006»
    Fundamental notions of analysis in subsystems of second-order arithmetic
    14 years 6 months ago
    Fundamental notions of analysis in subsystems of second-order arithmetic
    Download  www.andrew.cmu.edu
    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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