PL vs. PL locally flat

From: "Blake Winter" <mad2physicist@xxxxxxxxx>
Date: Thu, 24 Nov 2005 17:00:09 +0000 (UTC)

I am wondering, what is the definition of "PL locally flat," (see, for
example, http://www.arxiv.org/abs/math.GT/0408325). As I understand it
there is no way to take a PL embedding and have it be locally flat as
well. Perhaps I am misunderstanding the definition here of "PL locally
flat"?

.

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Re: PL vs. PL locally flat
... metrics and differentiable manifolds). ... hence, when I try to make the neighborhood a product, there's no way ... for me to do it homeomorphically (the neighborhood embedding will end ... So, if I am understanding this correctly, PL locally flat is ...
(sci.math.research)
Re: PL vs. PL locally flat
... >there is no way to take a PL embedding and have it be locally flat as ... the cone on K is a PL embedding ... It is a theorem that a PL 2-submanifold of a smooth 4-manifold ...
(sci.math.research)