International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 2, Pages 123-129

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

Received 19 December 1997; Revised 15 June 1998

Copyright © 2000 Young Ho Im and Soo Hwan Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.