Fibrewise F-and C-topological spaces

Ibrahim, R. B.; Yousif, Y. Y.

doi:10.47974/JIM-2586

Open Access Research Article

Fibrewise F-and C-topological spaces

R. B. Ibrahimruqayya.musa2303@ihcoedu.uobaghdad.edu.iqDepartment of Mathematics College of Education for Pure Science (Ibn Al-Haitham) University of Baghdad Baghdad, IraqView full profile → , ^*Y. Y. YousifCorresponding authoryousif.y.y@ihcoedu.uobaghdad.edu.iqDepartment of Mathematics College of Education for Pure Science (Ibn Al-Haitham) University of BaghdadDepartment of Mathematics College of Education for Pure Science (Ibn Al-Haitham) University of BaghdadBaghdad, IraqView full profile →

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pp. 1301–1308Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2586XML

Received:: 01 Jan 2026
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2586
Pages:: 1301–1308

Abstract

In the present work, we introduce and examine the framework of fibrewise (fib.wi.) F-and C-topological spaces. In contrast to the standard fib.wi. In topological spaces, the topology in these specific structures is established through a collection of fib.wi. Bundles. The significance of these spaces lies in their flexibility for representing the topological properties of various mathematical structures, including manifolds and group entities. We demonstrate that fib.wi. F-and C-topological spaces are not only straightforward to work with but also offer a rich ground for further mathematical inquiry. This study aims to clarify the underlying definitions of these spaces, their theoretical relevance, and their broader implications in contemporary topology. Specifically, we focus on the construction of novel ideas regarding fib.wi. F-and C-topological spaces defined over a base B. In addition, the paper presents and discusses the properties of fib.wi. F-and C-closed and open spaces over B, along with a number of original propositions.

Keywords

Fibrewise topological spaces Fibrewise F-topological spaces Fibrewise C-topological spaces Fibrewise F-open and closed sets Fibrewise C-open and closed sets

Subject Classifications

Primary 54C0854C10Secondary 55R70

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