Im, Young Ho; Kim, Soo Hwan An irreducible Heegaard diagram of the real projective 3-space \(P^3\). (English) Zbl 0963.57008 Int. J. Math. Math. Sci. 23, No. 2, 123-129 (2000). Results of S. Negami [Osaka J. Math. 21, No. 3, 477-487 (1984; Zbl 0561.57004)] and of S. Negami and 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. Reviewer: Lee P.Neuwirth (Princeton) Cited in 1 Document MSC: 57M50 General geometric structures on low-dimensional manifolds 57M15 Relations of low-dimensional topology with graph theory 57N10 Topology of general \(3\)-manifolds (MSC2010) Keywords:crystallization; projective 3-space; wave moves Citations:Zbl 0556.57008; Zbl 0561.57004; Zbl 0534.57002 PDFBibTeX XMLCite \textit{Y. H. Im} and \textit{S. H. Kim}, Int. J. Math. Math. Sci. 23, No. 2, 123--129 (2000; Zbl 0963.57008) Full Text: DOI EuDML