MORSE INEQUALITIES ON CERTAIN INFINITE 2-COMPLEXES

Author:

AYALA R.,FERNÁNDEZ L. M.,VILCHES J. A.

Abstract

AbstractUsing the notion of discrete Morse function introduced by R. Forman for finite cw-complexes, we generalize it to the infinite 2-dimensional case in order to get the corresponding version of the well-known discrete Morse inequalities on a non-compact triangulated 2-manifold without boundary and with finite homology. We also extend them for the more general case of a non-compact triangulated 2-pseudo-manifold with a finite number of critical simplices and finite homology.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. 8. Vilches J. A. , Funciones de Morse dicretas sobre complejos infinitos, Ph.D. Thesis (Universidad de Sevilla, Sevilla, 2003).

2. Combinatorial vector fields and dynamical systems

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