Micro bitopological spaces and some generalizations

Dawood, Esraa A.; Yousif, Y. Y.

doi:10.47974/JIM-2588

Open Access Research Article

Micro bitopological spaces and some generalizations

^*Esraa A. DawoodCorresponding authorisraa.abd2103m@ihcoedu.uobaghdad.edu.iqDepartment of Educational SupervisionGeneral Directorate of Education Baghdad Al-Rusafa, Ministry of EducationBaghdad, IraqView full profile → , Y. Y. Yousifyousif.y.y@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile →

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pp. 1319–1325Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2588XML

Received:: 01 Jan 2026
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2588
Pages:: 1319–1325

Abstract

In this essay, address the recently found microbiological topological spaces, such as microbiological closed and open sets in bitopological spaces. Furthermore, make and justify a number from statements about these concepts. A micro bitopological space is one whose topology is determined via a group of bundles. In comparison, in a typical topological space, the topology is specified via a single set. The power of micro bitopological spaces lies in their ability to model a broad range of mathematical objects that can describe the topology of a manifold or a group. Micro bitopological spaces have numerous uses in mathematics, such as investigating the geometry of a space or the structure of a group. Microtopological spaces are also simple to manipulate and have numerous mathematical applications.

Keywords

Micro bitopological spaces Micro.ƀi.closed Micro.ƀi.open Micro-ƀi-pre-open

Subject Classifications

76C11

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