Discrete dynamics on noncommutative CW complexes

Vida Milani

Iran, Islamic Republic of

Shahid Beheshti University

Seyed M.H. Mansourbeigi

United States

Polytechnic University

Department of Electrical Engineering

Submitted: 2013-09-04

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Accepted: 2013-09-04

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Published: 2013-09-18

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

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

Supporting agencies:

This research was not funded

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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