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Stratification Theory from the Weighted Point of View

Published online by Cambridge University Press:  20 November 2018

Toshizumi Fukui  and
Laurentiu Paunescu
Toshizumi Fukui
Affiliation:
Department of Mathematics, Faculty of Science, Saitama University, 255 Shimo-Okubo, Urawa 338, Japan
Laurentiu Paunescu
Affiliation:
School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia
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Abstract

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In this paper, we investigate stratification theory in terms of the defining equations of strata and maps (without tube systems), offering a concrete approach to show that some given family is topologically trivial. In this approach, we consider a weighted version of $\left( w \right)$-regularity condition and Kuo’s ratio test condition.

Keywords

32B9914P2532Cxx58A35
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 53 , Issue 1 , 01 February 2001 , pp. 73 - 97
Copyright
Copyright © Canadian Mathematical Society 2001

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