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MORSE INEQUALITIES ON CERTAIN INFINITE 2-COMPLEXES
Published online by Cambridge University Press: 09 August 2007
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.
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- Copyright © Glasgow Mathematical Journal Trust 2007
References
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