Heegard and regular genus agree for compact -manifolds
Paola Cristofori (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Paola Cristofori (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Alberto Cavicchioli, Mauro Meschiari (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Fulvia Spaggiari (1999)
Collectanea Mathematica
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P. Cristofori, C. Gagliardi, L. Grasselli (1995)
Revista Matemática de la Universidad Complutense de Madrid
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By means of branched coverings techniques, we prove that the Heegaard genus and the regular genus of an orientable 3-manifold with boundary coincide.
Luigi Grasselli (1987)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Alberto Cavicchioli, Fulvia Spaggiari (1993)
Commentationes Mathematicae Universitatis Carolinae
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We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let be a closed connected orientable smooth -manifold with free fundamental group. Then we prove that the number of distinct smooth -manifolds homotopy equivalent to equals the -nd Betti number (mod ) of .
Sedgwick, Eric (2001)
Algebraic & Geometric Topology
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