Apr 4, 2017 · Abstract:The Jordan decomposition theorem states that every function f \colon [0,1] \to \mathbb{R} of bounded variation can be written as ...
Feb 1, 2021 · THE REVERSE MATHEMATICS OF THEOREMS OF JORDAN AND LEBESGUE. Part of: General logic Computability and recursion theory. Published online by ...
Jan 8, 2021 · Abstract. The Jordan decomposition theorem states that every function f : [0, 1] → R of bounded variation can be written as the difference ...
The Jordan decomposition theorem states that every function $f \colon \, [0,1] \to \mathbb {R}$ of bounded variation can be written as the difference of two ...
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THE REVERSE MATHEMATICS OF THEOREMS OF JORDAN AND LEBESGUE. DOI Web Site 参考 ... We analyze the strength of these theorems in the setting of reverse mathematics.
The reverse mathematics of theorems of Jordan and Lebesgue. Journal of Symbolic Logic. André Nies; ,; Marcus A. Triplett; ,; Keita Yokoyama ...
The reverse mathematics of theorems of Jordan and Lebesgue. A Nies, MA ... The Jordan curve theorem and the Schönflies theorem in weak second-order arithmetic.
Nov 14, 2018 · First, we show a version of Lebesgue regularity: that for any analytic set A, the outer measure of A exists and that there is a Gδ (and hence ...
Oct 6, 2023 · Yokoyama, The reverse mathematics of theorems of. Jordan and Lebesgue, J. Symbolic Logic (2021), 1–18. [70] D. Normann and S. Sanders, On the ...
The Big Five phenomenon of RM is the observation that a large number of theorems from ordinary mathematics are either provable in the base theory or equivalent ...