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A TOPOLOGICAL VARIATION OF THE RECONSTRUCTION CONJECTURE

A TOPOLOGICAL VARIATION OF THE RECONSTRUCTION CONJECTURE

Abstract This paper investigates topological reconstruction, related to the reconstruction conjecture in graph theory. We ask whether the homeomorphism types of subspaces of a space X which are obtained by deleting singletons determine X uniquely up to homeomorphism. If the question can be answered affirmatively, such a space is called …