Eberlein-Smulian compactness and Kolmogorov extension theorems; a model theoretic approach
Logic
2015-09-22 v3
Abstract
This paper has two parts. First, we complete the proof of the Kolmogorov extension theorem for unbounded random variables using compactness theorem of integral logic which was proved for bounded case in [8]. Second, we give a proof of the Eberlein-Smulian compactness theorem by Ramsey's theorem and point out the correspondence between this theorem and a result in Shelah's classification theory.
Keywords
Cite
@article{arxiv.1509.03193,
title = {Eberlein-Smulian compactness and Kolmogorov extension theorems; a model theoretic approach},
author = {Seyed-Mohammad Bagheri and Karim Khanaki},
journal= {arXiv preprint arXiv:1509.03193},
year = {2015}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error