An irreducible Heegaard diagram of the real projective 3-space \(P^3\)
type: Item
instance of: scholarly article
title: An irreducible Heegaard diagram of the real projective 3-space \(P^3\)
zbMATH Open document ID: 0963.57008
DOI: 10.1155/S0161171200000430
author: Yanyan Li
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2000-05-08T00:00:00Z
full work available at URL: https://eudml.org/doc/48786
review text: Results of \textit{S. Negami} [Osaka J. Math. 21, No. 3, 477-487 (1984; Zbl 0561.57004)] and of \textit{S. Negami} and \textit{K. Okita} [Trans. Am. Math. Soc. 289, No. 1, 253-280 (1985; Zbl 0534.57002)] showed every genus 2 Heegaard diagram of \(P^3\) is reducible (by wave moves). The authors show by example that this result cannot be extended to genus 3.
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 57M15
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 1441873
zbMATH Keywords: crystallization
zbMATH Keywords: projective 3-space
zbMATH Keywords: wave moves
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
OpenAlex ID: W1975260082
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description: scientific article; zbMATH DE number 1441873