|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|4661585||1344845||2016||10 صفحه PDF||ندارد||دانلود رایگان|
We prove constructively that every uniformly continuous convex function f:X→R+f:X→R+ has positive infimum, where X is the convex hull of finitely many vectors. Using this result, we prove that a separating hyperplane theorem, the fundamental theorem of asset pricing, and Markov's principle are constructively equivalent. This is the first time that important theorems are classified into Markov's principle within constructive reverse mathematics.
Journal: Annals of Pure and Applied Logic - Volume 167, Issue 11, November 2016, Pages 1161–1170