Submission date: 27 July 2018.

Abstract:

We consider locally definable C^∞ manifolds, locally definable C^∞ maps and study t-regularity of locally definable C^∞ maps.

Mathematics Subject Classification: 14P10, 14P20, 03C64.

Keywords and phrases: O-minimal, locally definable sets, locally definable C^∞ manifolds, locally definably homotopic.

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