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ISSN 1088-6850(e) ISSN 0002-9947(p)

Stratified transversality by isotopy

Author(s): C. Murolo; D. J. A. Trotman; A. A. Du Plessis
Journal: Trans. Amer. Math. Soc. 355 (2003), 4881-4900.
MSC (2000): Primary 58A35, 57N75; Secondary 57N80, 57R52
Posted: July 28, 2003
MathSciNet review: 1997589
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Abstract: For $\mathcal{X}$ an abstract stratified set or a -regular stratification, hence for any -, - or -regular stratification, we prove that after stratified isotopy of $\mathcal{X}$ , a stratified subspace $\mathcal{W}$ of $\mathcal{X}$ , or a stratified map $h : \mathcal{Z} \to \mathcal{X}$ , can be made transverse to a fixed stratified map $g: \mathcal{Y} \to \mathcal{X}$ .

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