Annals of the Japan Association for Philosophy of Science
Online ISSN : 1884-1228
Print ISSN : 0453-0691
ISSN-L : 0453-0691
The Effective Sequence of Uniformities and its Limit as a Methodology in Computable Analysis
Mariko YASUGITakakazu MORIYoshiki TSUJII
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2007 Volume 15 Issue 2 Pages 99-121

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Abstract

We will speculate on the theory of the effective sequence of unifomities on a set and its effective limit as a methodology to vest a sequence of real functions which have different points of discontinuities with some notion of computability. Some model examples which explain the necessity of such a methodology are presented.

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