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Article Dans Une Revue Topology and its Applications Année : 2022

On the relative Kuo condition and the second relative Kuo condition

Satoshi Koike
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Résumé

The Kuo condition and the second Kuo condition are known as criteria for an r-jet to be V-sufficient in C-r mappings and Cr+1 mappings, respectively. In [2] we considered the notions of V-sufficiency of jets and these Kuo conditions in the relative case to a given closed set Sigma, and showed that the relative Kuo condition is a criterion for a relative r-jet to be Sigma-V-sufficient in C-r mappings and the second relative Kuo condition is a sufficient condition for a relative r-jet to be Sigma-V-sufficient in Cr+1 mappings. In this paper we discuss several conditions equivalent to the relative Kuo condition or the second relative Kuo condition. (c) 2021 Elsevier B.V. All rights reserved.

Dates et versions

hal-03718379 , version 1 (08-07-2022)

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Citer

Karim Bekka, Satoshi Koike. On the relative Kuo condition and the second relative Kuo condition. Topology and its Applications, 2022, 313, pp.107980. ⟨10.1016/j.topol.2021.107980⟩. ⟨hal-03718379⟩
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