On the toral rank conjecture and some consequences

Abstract The aim of this work is to improve the lower bound of the Puppe inequality. His theorem [15,Theorem 1.1] states that the sum of all Betti numbers of a well-behaved space X is at least equal to 2n, where n is rank of an n-torus T n acting almost freely on X.

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Detalles Bibliográficos
Autores principales: Aaya,Hassan, Hilali,Mohamed Anas, Hilali,Mohamed Rachid, Jawad,Tarik
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2017
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000200299
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Sumario:Abstract The aim of this work is to improve the lower bound of the Puppe inequality. His theorem [15,Theorem 1.1] states that the sum of all Betti numbers of a well-behaved space X is at least equal to 2n, where n is rank of an n-torus T n acting almost freely on X.