Some bounds for the regular genus of PL-manifolds
type: Item
instance of: scholarly article
title: Some bounds for the regular genus of PL-manifolds
zbMATH Open document ID: 0701.57004
DOI: 10.1016/0012-365X(90)90323-A
author: Rossana Chiavacci
author: Giuseppe Pareschi
published in: Discrete Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The regular genus g(M) for a compact connected PL n-manifold M with (possibly empty) boundary \(\partial M\) was defined by \textit{C. Gagliardi} [Proc. Am. Math. Soc. 81, 473-481 (1981; Zbl 0467.57004), and Geom. Dedicata 22, 261-281 (1987; Zbl 0618.57009)]. The authors prove that the genus of non-orientable manifolds is always even. It is also demonstrated that g(M)\(\geq rank \Pi_ 1(M)\) and g(M)\(\geq g(\partial M)\).
reviewed by: Alberto Cavicchioli
Mathematics Subject Classification ID: 57N15
Mathematics Subject Classification ID: 57M15
Mathematics Subject Classification ID: 57Q15
zbMATH DE Number: 4149157
zbMATH Keywords: regular genus
zbMATH Keywords: coloured graph
zbMATH Keywords: crystallization
zbMATH Keywords: PL-manifold
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4149157