Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/70589
Type: Artigo de periódico
Title: Poincare-Hopf inequalities
Author: Bertolim, MA
Mello, MP
De Rezende, KA
Abstract: In this article the main theorem establishes the necessity and sufficiency of the Poincare-Hopf inequalities in order for the Morse inequalities to hold. The convex hull of the collection of all Betti number vectors which satisfy the Morse inequalities for a pre-assigned index data determines a Morse polytope defined on the nonnegative orthant. Using results from network flow theory, a scheme is provided for constructing all possible Betti number vectors which satisfy the Morse inequalities for a pre-assigned index data. Geometrical properties of this polytope are described.
Subject: Conley index
Morse inequalities
Morse polytope
integral polytope
network-flow theory
Country: EUA
Editor: Amer Mathematical Soc
Rights: aberto
Identifier DOI: 10.1090/S0002-9947-04-03641-4
Date Issue: 2005
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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