Critical values lie on a line

We prove that critical values set of a differentiable map lies on a line of certain smoothness class.

Bibliographic Details
Main Author: Azat Ainouline
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504311012
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spelling doaj-1e312116b44443d8a8aa228f7fe0af232020-11-24T22:44:54ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092004-01-012004975777610.1155/S1085337504311012Critical values lie on a lineAzat Ainouline0Department of Mathematics & Statistics, University of Calgary, 2500 University Drive NW, Calgary T2N 1N4, AB, CanadaWe prove that critical values set of a differentiable map lies on a line of certain smoothness class.http://dx.doi.org/10.1155/S1085337504311012
collection DOAJ
language English
format Article
sources DOAJ
author Azat Ainouline
spellingShingle Azat Ainouline
Critical values lie on a line
Abstract and Applied Analysis
author_facet Azat Ainouline
author_sort Azat Ainouline
title Critical values lie on a line
title_short Critical values lie on a line
title_full Critical values lie on a line
title_fullStr Critical values lie on a line
title_full_unstemmed Critical values lie on a line
title_sort critical values lie on a line
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2004-01-01
description We prove that critical values set of a differentiable map lies on a line of certain smoothness class.
url http://dx.doi.org/10.1155/S1085337504311012
work_keys_str_mv AT azatainouline criticalvalueslieonaline
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