The 6-property for simplicial complexes and a combinatorial Cartan-Hadamard theorem for manifolds-Reference-Cited by-同舟云学术

The 6-property for simplicial complexes and a combinatorial Cartan-Hadamard theorem for manifolds

Published:1998 Issue:3 Volume:126 Page:917-924
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Corson J.,Trace B.

Abstract

The 6-property for 2-dimensional simplicial complexes is the condition that every nontrivial circuit in the link of a vertex has length greater than or equal to six. If a compact n n -manifold M M has a 2-dimensional spine with the 6-property, then we show that the interior of M M is covered by euclidean n n -space. In dimension n = 3 n=3 , we show further that such a 3-manifold is Haken.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-03/S0002-9939-98-04158-6/S0002-9939-98-04158-6.pdf

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