Logo
Munich Personal RePEc Archive

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

Arias-R., Omar Fdo. (2013): A remark on definable paths in regular O-minimal equilibrium manifolds.

[thumbnail of MPRA_paper_51820.pdf]
Preview
PDF
MPRA_paper_51820.pdf

Download (256kB) | Preview

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.

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.