Geodesic
MORSE INEQUALITIES ON CERTAIN INFINITE 2-COMPLEXES
Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 155-165

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DOI

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.
DOI : 10.1017/S0017089507003643
Mots-clés : 57M20, 57Q15, 68R10 
AYALA, R.; FERNÁNDEZ, L. M.; VILCHES, J. A. MORSE INEQUALITIES ON CERTAIN INFINITE 2-COMPLEXES. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 155-165. doi: 10.1017/S0017089507003643
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     title = {MORSE {INEQUALITIES} {ON} {CERTAIN} {INFINITE} {2-COMPLEXES}},
     journal = {Glasgow mathematical journal},
     pages = {155--165},
     year = {2007},
     volume = {49},
     number = {2},
     doi = {10.1017/S0017089507003643},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003643/}
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