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Recent
Issues
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Volume 52
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Volume 51
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Volume 50
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Volume 49
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Volume
48
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Vietnam
Journal of Mathematics 38:3 (2010) 281-286
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An Observation on
Definable Bi-Lipschitz Homeomorphism
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Ta Le Loi
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Abstract. This short note gives an observation on the
directional derivatives of bi-Lipschitz homeo-morphisms that are definable
in o-minimal structures and, as a conse-quence, it implies that the
dimension of directional sets of definable sets is invariant under
definable bi-Lipschitz homeomorphisms.
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2000 Mathematics Subject Classification: 14P15, 32B20,
14P10, 57R45.
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Keywords: o-minimal structure, bi-Lipschitz
homeomorphism, direction set.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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