Coverings and Minimal Triangulations of 3-Manifolds
Abstract
This paper uses results on the classification of minimal triangulations of 3-manifolds to produce additional results, using covering spaces. Using previous work on minimal triangulations of lens spaces, it is shown that the lens space L(4k, 2k-1) and the generalised quaternionic space S3/Q4k have complexity k, where k 2. Moreover, it is shown that their minimal triangulations are unique.
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