Displaying similar documents to “On a generalization of Hausdorff space.”

On generalized topological spaces I

Artur Piękosz (2013)

Annales Polonici Mathematici

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We begin a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings. We reformulate the axioms. Generalized topology is found to be connected with the concept of a bornological universe. Both GTS and its full subcategory SS of small spaces are topological categories. The second part of this paper will also appear in this journal.

g * -closed sets and a new separation axiom in Alexandroff spaces

Pratulananda Das, Md. Mamun Ar Rashid (2003)

Archivum Mathematicum

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In this paper we introduce the concept of g * -closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called T w -axiom in the Alexandroff spaces with the help of g * -closed sets and investigate some of its consequences.