An answer to a question of Coleman on scattered sets

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dc.creatorDontchev, Julian
dc.creatorGanster, Maximilian
dc.date1998-10-12
dc.date.accessioned2026-07-07T05:26:25Z
dc.date.available2026-07-07T05:26:25Z
dc.descriptionThe aim of this paper is to show that every scattered subset of a dense-in-itself semi-$T_D$-space is nowhere dense. We are thus able to answer a recent question of Coleman in the affirmative. In terms of Digital Topology, we prove that in semi-$T_D$-spaces with no open screen, trace spaces have no consolidations.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/9810077
dc.identifierhttp://arxiv.org/abs/math/9810077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77545
dc.subjectGeneral Topology
dc.subject54G12; 54H05; 68U05; 68U10
dc.titleAn answer to a question of Coleman on scattered sets
dc.typetext

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