In this paper, we show by means of examples that the Urysohn's lemma is not necessarily valid for a normal generalized topological space. Using a GT-analog of the Urysohn's lemma, we show that the following two statements are equivalent for a Hausdorff normal generalized topological space X with the property that each closed set is a Gδ-set: (i) X is a topological space. (ii) The set of nonnegative lower semi-continuous functions on X is closed under the operations of addition and multiplication.
Abbaspour,G. (2025). A Note on Normal Generalized Topological Spaces. Journal of Frame and Matrix Theory, 2(2), 1-5. doi: 10.22034/jfmt.2025.493106.1021
MLA
Abbaspour,G. . "A Note on Normal Generalized Topological Spaces", Journal of Frame and Matrix Theory, 2, 2, 2025, 1-5. doi: 10.22034/jfmt.2025.493106.1021
HARVARD
Abbaspour G. (2025). 'A Note on Normal Generalized Topological Spaces', Journal of Frame and Matrix Theory, 2(2), pp. 1-5. doi: 10.22034/jfmt.2025.493106.1021
CHICAGO
G. Abbaspour, "A Note on Normal Generalized Topological Spaces," Journal of Frame and Matrix Theory, 2 2 (2025): 1-5, doi: 10.22034/jfmt.2025.493106.1021
VANCOUVER
Abbaspour G. A Note on Normal Generalized Topological Spaces. JFMT, 2025; 2(2): 1-5. doi: 10.22034/jfmt.2025.493106.1021
