Abstract:
We introduce a version of discrete Morse theory for posets. This theory studies the topology of the order complexes K(X) of h-regular posets X from the critical points of admissible matchings on X. Our approach is related to R. Forman's discrete Morse theory for CW-complexes and generalizes Forman and Chari's results on the face posets of regular CW-complexes. We also introduce a homological variant of the theory that can be used to study the topology of triangulable homology manifolds by means of their order triangulations. © 2012 Elsevier B.V.
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Citas:
---------- APA ----------
(2012)
. Some remarks on Morse theory for posets, homological Morse theory and finite manifolds. Topology and its Applications, 159(12), 2860-2869.
http://dx.doi.org/10.1016/j.topol.2012.05.027---------- CHICAGO ----------
Minian, E.G.
"Some remarks on Morse theory for posets, homological Morse theory and finite manifolds"
. Topology and its Applications 159, no. 12
(2012) : 2860-2869.
http://dx.doi.org/10.1016/j.topol.2012.05.027---------- MLA ----------
Minian, E.G.
"Some remarks on Morse theory for posets, homological Morse theory and finite manifolds"
. Topology and its Applications, vol. 159, no. 12, 2012, pp. 2860-2869.
http://dx.doi.org/10.1016/j.topol.2012.05.027---------- VANCOUVER ----------
Minian, E.G. Some remarks on Morse theory for posets, homological Morse theory and finite manifolds. Topol. Appl. 2012;159(12):2860-2869.
http://dx.doi.org/10.1016/j.topol.2012.05.027
