标题:An irreducible Heegaard diagram of the real
projective 3-space <mml:math alttext="$P^3$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>p</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:math>
期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2000
卷号:23
DOI:10.1155/S0161171200000430
出版社:Hindawi Publishing Corporation
摘要: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.