Problems on homology manifolds

Abstract

A list of problems prepared for the proceedings of the Workshop on Exotic Homology Manifolds, Oberwolfach June 29-July 5 2003.Comment: This is the version published by Geometry & Topology Monographs on 22 April 200

A new class of reconstructible graphs from some neighbourhood conditions

“…Example 1.6 If L is a simplicial flag complex and a homology n-manifold (n ≥ 1), then the condition (i ) in Corollary 1.5 holds, where i 0 = n − 1. Detail of homology manifolds is found in [3, Section 5], [4], [10, p. 374], [11]. This is one of our motivations in this paper.…”

Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups

“…Here a generalized homology n-sphere is a polyhedral homology n-manifold with the same homology as an n-sphere S n (cf. [10, Section 5], [11], [25, p.374], [27]). Also detail of (virtual) Poincaré duality groups is found in [7], [10], [11], [13].…”