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Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran
10.22055/jamm.2025.49276.2363
Abstract
A topological space X is called a U$-space if any two disjoint cozero-sets can be separated by a clopen set. The paper introduces and studies two new subclasses of U-spaces, which generalize the classes P-spaces and basically disconnected spaces. Some algebraic and topological characterizations of the new spaces are given. The relationship between these spaces is described and some counterexamples are presented which show that these spaces are different from each other.
Mohamadian, R. and Kamaei, K. A. (2025). New subclasses of U-spaces. Journal of Advanced Mathematical Modeling, 15(2), 1-17. doi: 10.22055/jamm.2025.49276.2363
MLA
Mohamadian, R. , and Kamaei, K. A. . "New subclasses of U-spaces", Journal of Advanced Mathematical Modeling, 15, 2, 2025, 1-17. doi: 10.22055/jamm.2025.49276.2363
HARVARD
Mohamadian, R., Kamaei, K. A. (2025). 'New subclasses of U-spaces', Journal of Advanced Mathematical Modeling, 15(2), pp. 1-17. doi: 10.22055/jamm.2025.49276.2363
CHICAGO
R. Mohamadian and K. A. Kamaei, "New subclasses of U-spaces," Journal of Advanced Mathematical Modeling, 15 2 (2025): 1-17, doi: 10.22055/jamm.2025.49276.2363
VANCOUVER
Mohamadian, R., Kamaei, K. A. New subclasses of U-spaces. Journal of Advanced Mathematical Modeling, 2025; 15(2): 1-17. doi: 10.22055/jamm.2025.49276.2363
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