Shelling 3-cells in compact triangulated 3-manifolds

Treybig, L. B.

doi:10.1090/S0002-9939-1972-0290374-X

Shelling $3$-cells in compact triangulated $3$-manifolds
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Proc. Amer. Math. Soc. 33 (1972), 171-174 Request permission

Abstract:

Although examples of nonshellable 3-cells are known, this paper shows that every compact 3-manifold (with or without boundary) has a triangulation in which every 3-cell which is the union of 3-simplexes of the triangulation can be shelled.

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Bounds in piecewise linear topology

Moving polyhedral

spheres with simplicial isotopies