Transversality of smooth definable maps in O-minimal structures
2019 ◽
Vol 168
(3)
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pp. 519-533
AbstractWe present a definable smooth version of the Thom transversality theorem. We show further that the set of non-transverse definable smooth maps is nowhere dense in the definable smooth topology. Finally, we prove a definable version of a theorem of Trotman which says that the Whitney (a)-regularity of a stratification is necessary and sufficient for the stability of transversality.
1991 ◽
Vol 1
(2)
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pp. 69-77
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2015 ◽
1966 ◽
Vol 21
(11)
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pp. 1953-1959
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2021 ◽
Vol 31
(02)
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pp. 2150018
1994 ◽
Vol 116
(3)
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pp. 419-428
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1982 ◽
Vol 104
(1)
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pp. 27-32
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2008 ◽
Vol 21
(3)
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pp. 309-325
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