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nLab > Latest Changes: intermediate value theorem

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  1. adding another reference

    Anonymous

    diff, v17, current

  2. If the reference is correct, it should be possible to prove the constructive intermediate value theorem without countable choice. Thus, Toby Bartels could rewrite his proof without countable choice, which seems to be his original desire.

    Anonymous

    diff, v17, current

  3. If the reference is correct, it should be possible to prove the constructive intermediate value theorem without countable choice. Thus, Toby Bartels could rewrite his proof without countable choice, which seems to be his original desire.

    Anonymous

    diff, v17, current

    • CommentRowNumber4.
    • CommentAuthorRodMcGuire
    • CommentTimeJun 30th 2021

    umm that reference has been published outside the arXiv

    Matthew Frank - Interpolating Between Choices for the Approximate Intermediate Value Theorem lmcs:2638 - Logical Methods in Computer Science, July 14, 2020, Volume 16, Issue 3 - https://doi.org/10.23638/LMCS-16(3:5)2020

    Logical Methods in Computer Science, July 14, 2020, Volume 16, Issue 3 - doi:10.23638/LMCS-16(3:5)2020

    diff, v18, current

    • CommentRowNumber5.
    • CommentAuthorRodMcGuire
    • CommentTimeJun 30th 2021
    • (edited Jun 30th 2021)

    ugh url doesnt like parens, recoded them as %28 and %29.

    I checked the DOI url in the nForum. Why is the nLab more picky?

    diff, v18, current

    • CommentRowNumber6.
    • CommentAuthorGuest
    • CommentTimeJan 20th 2022

    This paper by Auke Booij gives another proof of the intermediate value theorem without the axiom of choice by using locators and locally non-constant functions.

1 to 6 of 6

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