On Some Topological Structures of Transformation Groups

作     者：Dhanasekar, Keerthana Visalakshi, V. 

作者机构：Department of Mathematics College of Engineering and Technology SRM Institute of Science and Technology Tamilnadu Kattankulathur603203 India Department of Mathematics College of Engineering and Technology SRM Institute of Science and Technology Tamilnadu Kattankulathur603203 India 

出 版 物：《IAENG International Journal of Applied Mathematics》 (IAENG Int. J. Appl. Math.)

年 卷 期：2024年第54卷第5期

页      面：887-893页

核心收录：

主　　题：Topology 

摘      要：This paper explores fundamental aspects of irresolute maps and investigates separation axioms, specifically semi-T2 and semi normal properties. The study introduces Irr-topological transformation groups, Irr*-topological transformation groups, I*-topological transformation groups and I-topological transformation groups, providing an in-depth analysis of their interrelations. Through detailed examination, the topological properties of these groups are elucidated, complemented by relevant examples and counterexamples. This comprehensive exploration aims to enhance our understanding of irresolute maps, separation axioms, and the intricate relationships within the introduced transformation groups. © (2024), (International Association of Engineers). All Rights Reserved.