Publication Date:
2018-10-22
Description:
This paper describes a generalization of Heegaard splittings of 3-manifolds and trisections of 4-manifolds to all dimensions, using triangulations as a key tool. In particular, every closed piecewise linear n-manifold can be divided into k+1 n-dimensional 1-handlebodies, where n=2k+1 or n=2k, such that intersections of the handlebodies have spines of small dimensions. Several applications, constructions, and generalizations of our approach are given.
Print ISSN:
0027-8424
Electronic ISSN:
1091-6490
Topics:
Biology
,
Medicine
,
Natural Sciences in General
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