Vol. 68, No. 1, 1977

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Some cellular subsets of the spheres

Vo Thanh Liem

Vol. 68 (1977), No. 1, 115–125
Abstract

Let H be a PL-homology sphere such that its multisuspension Sk H is topologically homeomorphic to the sphere. We prove that every cell-like subset of Sk is cellular. Also, every non-compact PL-manifold of dimension greater than four accepts uncountably many simplicial triangulations each of which contains a non-cellular k-simplex for every k0.

Mathematical Subject Classification
Primary: 57C15, 57C15
Milestones
Received: 14 July 1976
Revised: 23 November 1976
Published: 1 January 1977
Authors
Vo Thanh Liem