IJPAM: Volume 60, No. 1 (2010)

A NOTE ON DISCRETE MORSE THEORY
AND ITS APPLICATIONS

Wen-Haw Chen
Department of Mathematics
Tunghai University
Taichung, 40704, TAIWAN, R.O.C.
e-mail: whchen@thu.edu.tw


Abstract.We investigate the key notions of discrete Morse theory on CW-complexes including discrete Morse functions and discrete gradient vector fields. An application on torus will be presented.

Received: January 18, 2010

AMS Subject Classification: 55U10, 57Q05, 57R70, 58E05

Key Words and Phrases: discrete Morse theory, CW-complex, gradient vector field, critical simplex

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 1