논문KCI 등재
On the genus of $\Bbb S^m \times \Bbb S^n$
4
조회
0
다운로드
1
인용
0
참고문헌
주제분류수학
초록
Abstract
By using a recursive algorithm, we construct edge- coloured graphs representing products of spheres and consequently we give upper bounds for the regular genus of Sm £ Sn, for each m; n > 0.
참고문헌 (5)
- "Classifying PL 5-manifolds up to regular genusseven", pp.283~ (1994)
- "A graph-theoretical representation of PL-manifolds - A survey on crystallizations", 31, pp.121~141 (1986)
- C. Gagliardi, "Regular imbeddings of edge-coloured graphs", pp.397~414 (1981)
- "Extending the concept of genus to dimensionn", 81, pp.473~481 (1981)
- "Representing products of polyhedra by products ofedge-coloured graphs", pp.579~ (1993)
관련 논문AI추천
A note on indecomposable 4-manifolds조용승, 홍윤희대한수학회 · 대한수학회보2005 · 제42권 제4호The topology of $S^2$-fiber Bundles조도상, 조용승대한수학회 · 대한수학회지2005 · 제42권 제4호REGULAR GENUS AND PRODUCTS OF SPHERESFulvia Spaggiari대한수학회 · 대한수학회지2010 · 제47권 제5호On certain classes of links and $3$-manifolds김수환, 김양곡대한수학회 · 대한수학회논문집2005 · 제20권 제4호Crosscap Numbers of Two -component LinksGengyu Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호On spin alternating group actions on spin 4-manifoldsKazuhiko Kiyono, Ximin Liu대한수학회 · 대한수학회지2006 · 제43권 제6호
이 간행물의 다른 논문 (9건)
On operator interpolation problemsKi Sook Kim, 조영수, 강주호pp. 423-433Identification problems for the system governed by abstract nonlinea damped second order evolutione quationsJunhong Ha, Shin-ichi Nakagiripp. 435-459Homomorphisms between $C^*$-algebras associated with the Triffunctional equation and linear derivations on$C^*$-algebrasChun-Gil Park, Jinchuan Houpp. 461-477On decomposability of finite groupsAli Reza Ashrafipp. 479-487ALGORITHMS FOR SYSTEMS OFNONLINEAR VARIATIONAL INEQUALITIESYa-ping Fang, Yeol Je Cho, Ho Jin Hwang, Nan-jing Huangpp. 489-499