Affiliations: [a] Department of Mathematics, St. Thomas College, Palai, Arunapuram, Kottayam, Kerala, India
| [b] Department of Mathematics, Deva Matha College Kuravilangad, Kuravilangad, Kottayam, Kerala, India
Correspondence:
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Corresponding author. Sunil C. Mathew, Department of Mathematics, Deva Matha College Kuravilangad, Kuravilangad P.O. - 686633, Kottayam, Kerala, India. E-mail: [email protected].
Abstract: In this paper, the authors introduce catalyzed LM-G-filter spaces, a special case of weakly inspired LM-G-filter spaces and identify certain properties of these spaces. It is proved that CLM-G, the category of catalyzed LM-G-filter spaces, is isomorphic to ILM-G, the category of inspired LM-G-filter spaces. Moreover, the categorical connection between WILM-G, the category of weakly inspired LM-G-filter spaces, and CLM-G is investigated through interior and exterior catalyzation of weakly inspired LM-G-filter spaces. It is proved that CLM-G is an isomorphism-closed, bireflective and bicoreflective full subcategory of WILM-G and LM-G.
