License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.CCA.2009.2265
URN: urn:nbn:de:0030-drops-22651
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2009/2265/
Go to the corresponding OASIcs Volume Portal

Diener, Hannes ; Schuster, Peter
Contributed Papers

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

pdf-format:
Diener.2265.pdf (0.2 MB)

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 =		{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
Collection: 6th International Conference on Computability and Complexity in Analysis (CCA'09)
Issue Date: 2009
Date of publication: 25.11.2009

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI