Hausdorff L-topological spaces over a base space |
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| Institution: | 1. Department of Mathematics Education, Cheju National University, Cheju 690-756, South Korea;2. Department of Applied Mathematics, Paichai University, Daejeon 302-735, South Korea;3. Department of Mathematics, Kangnung National University, Kangnung 210-702, South Korea;1. Iraqi Commission for Computers and Informatics (ICCI), Baghdad, Iraq;2. Ministry of Education, ThiQar, Iraq;3. College of Computer Science and Information Technology, University of Sumer, Thi Qar , Iraq;4. Southern Technical University, Basrah, Iraq;5. Ministry of Education, Baghdad, Iraq;6. School of Mechanical, Medical, and Process Engineering, Queensland University of Technology, Brisbane, QLD 4000, Australia;7. ARC Industrial Transformation Training Centre – Joint Biomechanics, Queensland University of Technology, Brisbane, QLD 4000, Australia;8. Computer Techniques Engineering Department, Mazaya University College, Nasiriyah, Iraq;9. Department of Computer Science and Information Technology, La Trobe University, Melbourne, VIC, Australia;10. Faculty of Computing and Meta-Technology (FKMT), Universiti Pendidikan Sultan Idris (UPSI), Perak, Malaysia;11. Akunah Company for Medical Technology, Brisbane, QLD 4120, Australia;12. Department of Computer Science, University of Jaén, Jaén 23071, Spain;13. School of Psychology and Counselling, Queensland University of Technology, Brisbane, QLD 4000, Australia;14. The Bartlett School of Sustainable Construction, University College London, 1-19 Torrington Place, London WC1E 7HB, UK;15. Department of Industrial Engineering, Turkish Naval Academy, National Defence University, 34940, Tuzla, Istanbul, Turkey;1. Mathematics Section, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, Chidambaram, Tamil Nadu-608002, India;2. Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar, Chidambaram, Tamil Nadu, India;3. Department of Mathematics, Annamalai University, Annamalainagar, Chidambaram, Tamil Nadu, India;1. Deparment of Mathematics, Technocrats Institute of Technology Bhopal, MP, India;2. Department Applied Sciences, G. H. Raisoni Institute of Engineeing and Technology, wagholi, Pune, India;3. Department of Infotmation Technology, Salalah College of Technology, Salalah, Sultanate of Oman, India |
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| Abstract: | In this paper, we introduce the notion of Hausdorff L-topological spaces over a base space, where L is a complete lattice and give some characterizations of these spaces. And we show that the category of Hausdorff L-topological spaces over a base space is a reflective subcategory of the category of L-topological spaces over a base space. |
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