On classification of -manifolds according to genus
Alberto Cavicchioli, Mauro Meschiari (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “On the genus of RP3 x S1.”
On classification of -manifolds according to genus
Heegard and regular genus agree for compact -manifolds
Paola Cristofori (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Handle-decompositions of -manifolds
Maria Rita Casali, Luca Malagoli (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Heegaard and regular genus of 3-manifolds with boundary.
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.
On the Heegaard genus of contact 3-manifolds
Burak Ozbagci (2011)
Open Mathematics
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It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the Heegaard genus of contact 3-manifolds is not necessarily additive under contact connected sum. We also prove some basic properties of the contact genus (a.k.a. open book genus [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.
On the topological structure of compact 5-manifolds
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 .
Crystallizations and other manifold representations.
Luigi Grasselli (1987)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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