journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1466 Characterization of I-b-open sets Rosas Ennis Departamento de Ciencias Naturales y Exactas, Barranquilla, Universidad de la Costa-080001, Colombia Carpintero Carlos Facultad de Ciencias Básicas, Corporación Universitaria del Caribe-CECAR- 700009, Sincelejo, Colombia Sanabria José Departamento de Matemáticas, Facultad de Educación y Ciencias, 700009 Sincelejo, Universidad de Sucre, Colombia Namiq Sarhad F. Department of Mathematics, College of Education, Kurdistan-Region, University of Garmian, Iraq 26 2 261 269 01 03 2023

In this article we obtain some answers for the open problem stated in [3] by Carpintero et al. If (X,τ,I) is an ideal topological space, under what conditions on the space and/or in the ideal, we can say that if A⊆X such that cl(A) is an I-b-open set, then A is an I-b-open.

 I-b-open set Continuous I-b-functions access open retracted no