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We give a genus 3 Heegaard diagram H of the real projective space p3, which has no waves and pairs of complementaryhandles. So Negami's result that every genus 2 Heegaard diagramof p3 is reducible cannot be extended to Heegaard diagrams ofp3 with genus 3

international journal of mathematics and mathematical sciences

An irreducible Heegaard diagram of the real projective 3-space<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$P^3$"><mml:mrow><mml:msup><mml:mi>p</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:math>

An irreducible Heegaard diagram of the real projective 3-spacep3