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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
오류제보하기
A crystallization of a closed connected PL manifold M is a special edge-colored graph representing M via a contracted triangulation.
The regular genus of M is the minimum genus of a closed connected surface into which a crystallization of M regularly embeds. We disprove a conjecture on the regular genus of S2 × Sn, n ≥ 3, stated in [J. Korean Math. Soc. 41 (2004), no. 3, p. 420].
목차
등록된 정보가 없습니다.
참고문헌 (18)
참고문헌 신청
A. Cavicchioli / 1989 / A combinatorial characterization of S3 × S1 among closed 4-manifolds / Proc. Amer. Math. Soc. 105 (4) : 1008 ~ 1014
A. Cavicchioli / 1992 / On the genus of smooth 4-manifolds / Trans. Amer. Math. Soc. 331 (1) : 203 ~ 214
A. Cavicchioli / 1993 / On the determination of PL-manifolds by handles of lower dimension / Topology Appl. 53 (2) : 111 ~ 118
A. Cavicchioli / 1998 / Manifold crystallization, in: Encyclopaedia of Mathematics / Kluwer Acad. Publ.
A. Cavicchioli / 1998 / Open problems on graphs arising from geometric topology / Topology Appl. 84 (1) : 207 ~ 226
A. Cavicchioli / 1992 / On the genus of smooth 4-manifolds / Trans. Amer. Math. Soc. 331 (1) : 203 ~ 214
A. Cavicchioli / 1993 / On the determination of PL-manifolds by handles of lower dimension / Topology Appl. 53 (2) : 111 ~ 118
A. Cavicchioli / 1998 / Manifold crystallization, in: Encyclopaedia of Mathematics / Kluwer Acad. Publ.
A. Cavicchioli / 1998 / Open problems on graphs arising from geometric topology / Topology Appl. 84 (1) : 207 ~ 226
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