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
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.
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.