C-α-Compact Spaces


Viglino[13], introduced the family of C-compact spaces, showing that every continuous function from a C-compact space into a Hausdorff space is a closed function and that this class of spaces properly contains the class of compact spaces. In the present paper, we study these spaces by considering α-open sets introduced by Njastad [11]. We also characterize their fundamental properties.

DOI Code: 10.1285/i15900932v30n1p87

α-open sets; α-regular space; α-compact space; C-compact spaces

Classification: 54A05; 54A20; 54C05; 54C10; 54D10; 54D30

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