Collared and non-collared manifold boundaries

  • Mathieu Baillif

    Haute École du Paysage, Geneva, Switzerland
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Abstract

We gather in this note results and examples about collared and non-collared boundaries in non-metrisable manifolds. It has been known for a long time that boundaries are collared in metrisable manifolds, but the matter is more complicated for non-metrisable ones. The majority of the contents of this note are well known but a bit scattered in the literature (sometimes with small inaccuracies that we correct), and some of it is apparently not published at all and might be new.

Cite this article

Mathieu Baillif, Collared and non-collared manifold boundaries. Enseign. Math. 68 (2022), no. 1/2, pp. 161–180

DOI 10.4171/LEM/1024