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Stratification Theory from the Weighted Point of View

Published:2001-02-01
Printed: Feb 2001
• Toshizumi Fukui
• Laurentiu Paunescu
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Abstract

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 $(w)$-regularity condition and Kuo's ratio test condition.
 MSC Classifications: 32B99 - None of the above, but in this section 14P25 - Topology of real algebraic varieties 32Cxx - Analytic spaces 58A35 - Stratified sets [See also 32S60]