English

Towards a Unified Framework for Bioperations on $e^\star$-Open Sets in Topological Spaces

General Topology 2024-12-18 v1

Abstract

In this paper, we introduce the concept of e[γ,γ]e^\star_{[\gamma,\gamma']}-open sets in topological spaces and examine their properties in detail. Additionally, we propose a new class of functions, termed (e[γ,γ], e[β,β])(e^\star_{[\gamma,\gamma']},\ e^\star_{[\beta,\beta']})-continuous functions, and explore their fundamental characteristics.

Keywords

Cite

@article{arxiv.2412.12554,
  title  = {Towards a Unified Framework for Bioperations on $e^\star$-Open Sets in Topological Spaces},
  author = {G. Saravanakumar and M. Arun},
  journal= {arXiv preprint arXiv:2412.12554},
  year   = {2024}
}
R2 v1 2026-06-28T20:38:16.824Z