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

Authors :
Young Ho Im
Soo Hwan Kim
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 23, Iss 2, Pp 123-129 (2000)
Publication Year :
2000
Publisher :
Wiley, 2000.

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.

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
23
Issue :
2
Database :
Directory of Open Access Journals
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.38f3dc4886d441cb8a83b788d73a1f7e
Document Type :
article
Full Text :
https://doi.org/10.1155/S0161171200000430