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JP Journal of Geometry and Topology

JP Journal of Geometry and Topology
Volume 21, Issue 4, Pages 317 - 325 (November 2018)
http://dx.doi.org/10.17654/GT021040317

RELATIONS BETWEEN θ_cl-CONTINUITY AND CONTINUITY

M. Etebar

Abstract:

A new class of functions, namely θ_cl-continuous functions, is introduced. The relationships between continuity and θ_cl-continuity are investigated. Basic properties of θ_cl-continuous functions are studied.

Keywords and phrases:

θ_cl-open set, θ_cl-closed set, θ_cl-space, θ_cl-continuous function, strongly θ_cl-continuous function.