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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 2, Pages 123-129
doi:10.1155/S0161171200000430

An irreducible Heegaard diagram of the real projective 3-space p3

Young Ho Im and Soo Hwan Kim

Department of Mathematics, Pusan National University, Pusan 609-735, Korea

Abstract

We give a genus 3 Heegaard diagram H of the real projective space p3, which has no waves and pairs of complementary handles. So Negami's result that every genus 2 Heegaard diagram of p3 is reducible cannot be extended to Heegaard diagrams of p3 with genus 3.