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DOI: 10.4230/OASIcs.CCA.2009.2265
URN: urn:nbn:de:0030-drops-22651
URL: http://drops.dagstuhl.de/opus/volltexte/2009/2265/
Diener, Hannes ; Schuster, Peter
Contributed Papers

Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis

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Abstract

We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an alternative, fully constructive existence proof.

BibTeX - Entry

@InProceedings{diener_et_al:DSP:2009:2265,
  author =	{Hannes Diener and Peter Schuster},
  title =	{Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis},
  booktitle =	{6th Int'l Conf. on Computability and Complexity in Analysis},
  year =	{2009},
  editor =	{Andrej Bauer and Peter Hertling and Ker-I Ko},
  publisher =	{Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/2265},
  annote =	{Keywords: Implicit function, uniqueness, continuity, constructive analysis, countable choice},
}

Keywords: Implicit function, uniqueness, continuity, constructive analysis, countable choice
Seminar: 6th International Conference on Computability and Complexity in Analysis (CCA'09)
Issue date: 2009
Date of publication: 25.11.2009

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