Discrete dynamics on noncommutative CW complexes

Vida Milani; Seyed M.H. Mansourbeigi

doi:10.4995/agt.2013.1671

Authors

Vida Milani Shahid Beheshti University
Seyed M.H. Mansourbeigi Polytechnic University

DOI:

https://doi.org/10.4995/agt.2013.1671

Keywords:

closed hemi-continuous, C*-algebra, CW complexes, discrete dynamical system, modified Morse function, noncommutative CW complex, open hemi-continuous, stable manifold, unstable manifold

Abstract

The concept of discrete multivalued dynamical systems for noncommutative CW complexes is developed. Stable and unstable manifolds are introduced and their role in geometric and topological configurations of noncommutative CW complexes is studied. Our technique is illustrated by an example on the noncommutative CW complex decomposition of the algebra of continuous functions on two dimensional torus.

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Author Biography

Seyed M.H. Mansourbeigi, Polytechnic University

Department of Electrical Engineering

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