Universal Journal of Mathematics and Mathematical Sciences
Volume 13, Issue 2, Pages 57 - 79
(December 2020) http://dx.doi.org/10.17654/UM013020057 |
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KF-CONTINUOUS SPACES AND KF-QUASICONTINUOUS SPACES
Dexian Liu
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Abstract: In this paper, we introduce and study a new continuity of topological space (X, τ) called KF-continuous spaces using the KF-set. Some topological properties of KF-continuous spaces are put forward. Furthermore, we propose KF-quasicontinuous spaces and KF-meet continuous spaces. We prove that X is a KF-meet continuous and quasicontinuous space if and only if X is a KF-continuous space. |
Keywords and phrases: KF-set, KF-continuous spaces, quasicontinuous, meet continuous.
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