Simplicial structures and dual conical maps
type: Item
instance of: scholarly article
title: Simplicial structures and dual conical maps
zbMATH Open document ID: 0634.57013
author: Sara Dragotti
author: Gaetano Magro
published in: Ricerche di Matematica
publication date: 1986-01-01T00:00:00Z
review text: Let f be a simplicial map of X into Y, where X is a homology manifold and Y is a compact polyhedron. We prove that if for every simplex \(\alpha\) the dual D(\(\alpha\),f) to \(\alpha\) with respect to f is a cone, then f(X) is a homology n-manifold. Moreover if D(\(\alpha\),f) is a cone on D(\(\alpha\),f), then f(X) is PL-homeomorphic to X.
Mathematics Subject Classification ID: 57Q99
Mathematics Subject Classification ID: 57P05
zbMATH DE Number: 4032629
zbMATH Keywords: simplicial map from a homology n-manifold to a polyhedron
zbMATH Keywords: cone
zbMATH Keywords: PL- homeomorphic
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4032629