Minimal continuous multifunctions

Subject Areas : General topology

İ. Zorlutuna ¹ , S. Atmaca ² , N. O. Diri ³

1 - Sivas Cumhuriyet University, Turkey
2 - Sivas Cumhuriyet University, Turkey
3 - Sivas Cumhuriyet University, Turkey

Received: 2023-06-18 Accepted : 2023-07-28 Published : 2023-10-01

Keywords: multifunction, Continuity, minimal open set, Alexandroff space,

Abstract :

In this paper, we introduce a new strong form of the continuity of multifunctions with the help of minimal open sets. We give some characterizations for this new continuity and investigate fundamental properties of it. Additionally, we use this type of multifunctions to characterize Alexandroff spaces.

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