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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:OASIcs:2009:2265,
  author =	{Hannes Diener and Peter Schuster},
  title =	{{Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis}},
  booktitle =	{6th International Conference on Computability and Complexity in Analysis (CCA'09)},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-12-5},
  ISSN =	{2190-6807},
  year =	{2009},
  volume =	{11},
  editor =	{Andrej Bauer and Peter Hertling and Ker-I Ko},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/2265},
  URN =		{urn:nbn:de:0030-drops-22651},
  doi =		{http://dx.doi.org/10.4230/OASIcs.CCA.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: 2009


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