An irreducible Heegaard diagram of the real projective 3-space p3
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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200000430 |
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| _version_ | 1832567927737417728 |
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| author | Young Ho Im Soo Hwan Kim |
| author_facet | Young Ho Im Soo Hwan Kim |
| author_sort | Young Ho Im |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-38f3dc4886d441cb8a83b788d73a1f7e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-38f3dc4886d441cb8a83b788d73a1f7e2025-02-03T01:00:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123212312910.1155/S0161171200000430An irreducible Heegaard diagram of the real projective 3-space p3Young Ho Im0Soo Hwan Kim1Department of Mathematics, Pusan National University, Pusan 609-735, KoreaDepartment of Mathematics, Pusan National University, Pusan 609-735, KoreaWe 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.http://dx.doi.org/10.1155/S0161171200000430Heegaard diagramwave movecrystallization. |
| spellingShingle | Young Ho Im Soo Hwan Kim An irreducible Heegaard diagram of the real projective 3-space p3 International Journal of Mathematics and Mathematical Sciences Heegaard diagram wave move crystallization. |
| title | An irreducible Heegaard diagram of the real
projective 3-space p3 |
| title_full | An irreducible Heegaard diagram of the real
projective 3-space p3 |
| title_fullStr | An irreducible Heegaard diagram of the real
projective 3-space p3 |
| title_full_unstemmed | An irreducible Heegaard diagram of the real
projective 3-space p3 |
| title_short | An irreducible Heegaard diagram of the real
projective 3-space p3 |
| title_sort | irreducible heegaard diagram of the real projective 3 space p3 |
| topic | Heegaard diagram wave move crystallization. |
| url | http://dx.doi.org/10.1155/S0161171200000430 |
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