# Collar neighbourhoods for topological manifolds.

The well-known collar neighbourhood theorem states:

Let $M$ be a smooth manifold with compact boundary $\partial M$, then there exists a neighbourhood of $\partial M$, which is diffeomorphic to $\partial M\times [0,1)$.

I am asking myself if the theorem holds in the topological category. Is it true at least for compact topological manifolds?

My first idea would be to take a more closer look at the work of Kirby and Siebenmann on topological manifolds, but since I am absolutely not an expert in this field, I hoped to get an answer with a reference or a counterexample here.

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