A remark on definable paths in regular O-minimal equilibrium manifolds

Omar Fdo. Arias-R.

MPRA Paper from University Library of Munich, Germany

Abstract: The main purpose of this paper is to remark that any definable continuous path linking two regular equilibria in a regular O-minimal equilibrium manifold intersects a finite number of definable connected components locally determined. We apply the cell decomposition theorem to decompose the definable equilibrium manifold in finite connected components, the definable triviality theorem to local determinacy in each component, and the definable curve selection to have continuous paths in the manifold.

Keywords: O-minimal manifold; cell decomposition; triviality; curve selection (search for similar items in EconPapers)
JEL-codes: D50 D51 (search for similar items in EconPapers)
Date: 2013-11-30
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Citations: View citations in EconPapers (1)

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