Hyperplane-Open Weak Topologies in Rn

Chika Moore and Alexander Ilo
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Chika Moore: Department of Mathematics, Nnamdi Azikiwe University, P.M.B. 5025, Awka, Anambra State
Alexander Ilo: Department of Mathematics, Nnamdi Azikiwe University, P.M.B. 5025, Awka, Anambra State

International Journal of Research and Scientific Innovation, 2024, vol. 11, issue 9, 320-324

Abstract: A general procedure of constructing hyperplane-open weak topology on Rn is exposed. The process also leads to the formulation of matrix-open weak topology on Rn.This is a very interesting discovery since we never expected that a matrix of points in the Cartesian plane could come out as an open set.

Date: 2024
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