Transactions of the American Mathematical Society

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
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 58A35, 57N75, 57N80, 57R52

C. Murolo
Affiliation: Laboratoire d'Analyse, Topologie et Probabilités, Centre de Mathématiques et Informatique, Université de Provence, 39, rue Joliot-Curie, 13453 Marseille Cedex 13, France
Email: murolo@gyptis.univ-mrs.fr

D. J. A. Trotman
Affiliation: Laboratoire d'Analyse, Topologie et Probabilités, Centre de Mathématiques et Informatique, Université de Provence, 39, rue Joliot-Curie, 13453 Marseille Cedex 13, France
Email: trotman@gyptis.univ-mrs.fr

A. A. Du Plessis
Affiliation: Matematisk Institut, Ny Munkegade, Universitet Aarhus, Aarhus, Denmark
Email: matadp@mi.aau.dk

DOI: 10.1090/S0002-9947-03-03236-7
PII: S 0002-9947(03)03236-7
Received by editor(s): October 2, 2001
Received by editor(s) in revised form: June 4, 2002
Posted: July 28, 2003
Additional Notes: The first author received support from the Department of Mathematics of the Faculty of Engineering and the Office of International Relations of the University of Naples.
Copyright of article: Copyright 2003, American Mathematical Society

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