ℒ-manifolds and cone-dual maps

Dragotti, Sara; Magro, Gaetano

doi:10.1090/S0002-9939-1988-0955023-5

$\mathcal {L}$-manifolds and cone-dual maps
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Proc. Amer. Math. Soc. 103 (1988), 1281-1289 Request permission

Abstract:

Let $f:P \to Q$ be a simplicial map such that $D(\alpha ,f)$, the dual to $\alpha$ with respect to $f$, is a cone, for each simplex $\alpha$ of $Q$. It is shown that if $P$ is an $L$-manifold then $f$ is approximable by PL-homeomorphisms, provided that $f$ satisfies an extra condition on the boundary of $P$.

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