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/
Diener, Hannes ;
Schuster, Peter
Contributed Papers
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
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: |
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Implicit function, uniqueness, continuity, constructive analysis, countable choice |
Collection: |
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6th International Conference on Computability and Complexity in Analysis (CCA'09) |
Issue Date: |
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2009 |
Date of publication: |
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25.11.2009 |