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MORSE INEQUALITIES ON CERTAIN INFINITE 2-COMPLEXES

Published online by Cambridge University Press:  09 August 2007

R. AYALA ,
L. M. FERNÁNDEZ  and
J. A. VILCHES
R. AYALA
Affiliation:
Dpto. de Geometría y Topología, Universidad de Sevilla, 41080, Sevilla, Spain e-mails: rdayala@us.es, lmfer@us.es, vilches@us.es
L. M. FERNÁNDEZ
Affiliation:
Dpto. de Geometría y Topología, Universidad de Sevilla, 41080, Sevilla, Spain e-mails: rdayala@us.es, lmfer@us.es, vilches@us.es
J. A. VILCHES
Affiliation:
Dpto. de Geometría y Topología, Universidad de Sevilla, 41080, Sevilla, Spain e-mails: rdayala@us.es, lmfer@us.es, vilches@us.es
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Abstract

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Using 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.

Keywords

57M2057Q1568R10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 155 - 165
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

REFERENCES

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