New subclasses of U-spaces

نوع مقاله : مقاله پژوهشی

نویسندگان

1 Shahid Chamran University of Ahvaz

2 Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran

10.22055/jamm.2025.49276.2363

چکیده

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.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

New subclasses of U-spaces

نویسندگان [English]

  • Rostam Mohamadian 1
  • Keramat allah Kamaei 2
1 Shahid Chamran University of Ahvaz
2 Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran
چکیده [English]

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.

کلیدواژه‌ها [English]

  • Basically disconnected spaces
  • P-spaces
  • U-spaces