Study of Neutrosophic b-continuous maps in Neutrosophic  Topological Spaces

Sujeewa Malkanthi; Panchadcharam Elango

Authors

Sujeewa Malkanthi Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka;
Panchadcharam Elango Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka;

Keywords:

Neutrosophic topological spaces; Neutrosophic b-open sets; Neutrosophic b-Continuous map.

Abstract

Neutrosophic sets were introduced to deal with indeterminancy and persistent issues and they were
used to develop the neutrosophic topological spaces. In this paper, the concept of neutrosophic b-continuous
maps and strongly neutrosophic b-continuous maps are defined and some important properties are developed.
We prove that every neutrosophic strongly b-continuous map is a neutrosophic b-continuous map. We examine
the relationship of neutrosophic b-continuous maps with the already defined continuous maps such as neutro
sophic semi-continuous maps, neutrosophic pre-continuous maps, neutrosophic α-continuous maps. We prove
that if a map is any of these neutrosophic continuous map, then that is a neutrosophic b-continuous map.
Further, we prove that the surjective neutrosophic b-continuous image of a neutrosophic b-connected space,
and a neutrosophic b-compact space is a neutrosophic b-connected space, and neutrosophic b-compact space
respectively.

DOI 10.5281/zenodo.17612704