Interpolating Between Choices for the Approximate Intermediate Value Theorem

This paper proves the approximate intermediate value theorem, constructively and from notably weak hypotheses: from pointwise rather than uniform continuity, without assuming that reals are presented with rational approximants, and without using countable choice. The theorem is that if a pointwise c...

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Bibliographic Details
Main Author: Matthew Frank
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2020-07-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/2638/pdf