Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Links and nonshellable cell partitionings of $ S\sp 3$

Author: Steve Armentrout
Journal: Proc. Amer. Math. Soc. 118 (1993), 635-639
MSC: Primary 57N12; Secondary 57M25, 57M40
MathSciNet review: 1132848
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A cell partitioning of a closed $ 3$-manifold $ {M^3}$ is a finite covering of $ {M^3}$ by $ 3$cells that fit together in a bricklike pattern. A cell partitioning $ H$ of $ {M^3}$ is shellable if $ H$ has a counting $ \langle {h_1},{h_2}, \ldots ,{h_n}\rangle $ such that if $ 1 \leqslant i < n,\;{h_1} \cup {h_2} \cup \cdots \cup {h_i}$ is a $ 3$-cell. The main result of this paper is a relationship between nonshellability of a cell partitioning $ H$ of $ {S^3}$ and the existence of links in $ {S^3}$ specially related to $ H$. This result is used to construct a nonshellable cell partitioning of $ {S^3}$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57N12, 57M25, 57M40

Retrieve articles in all journals with MSC: 57N12, 57M25, 57M40

Additional Information

Article copyright: © Copyright 1993 American Mathematical Society