Idealization of Ganster-Reilly decomposition theorems

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dc.creatorDontchev, Julian
dc.date1999-01-05
dc.date.accessioned2026-07-07T05:27:27Z
dc.date.available2026-07-07T05:27:27Z
dc.descriptionIn 1990, Ganster and Reilly proved that a function is continuous if and only if it is precontinuous and LC-continuous. In this paper we extend their decomposition of continuity in terms of ideals. We show that a function $f \colon (X,τ,{\cal I}) \to (Y,σ)$ is continuous if and only if it is pre-I-continuous and I-LC-continuous. We also provide a decomposition of I-continuity.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/9901017
dc.identifierhttp://arxiv.org/abs/math/9901017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77926
dc.subjectGeneral Topology
dc.subject54A05, 54A20, 26A15, 54A05, 54C10
dc.titleIdealization of Ganster-Reilly decomposition theorems
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