International Journal of Scientific Research and Engineering Development Volume : 4, Issue : 3, May-June 2021, Pages: 285 - 303 Available at www.ijsred.com mω-CLOSED SETS IN MICRO TOPOLOGICAL SPACES SELVARAJ GANESAN Assistant Professor, PG & Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai-630561, Tamil Nadu, India. (Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India) e-mail : sgsgsgsgsg77@gmail.com; Orcid: 0000-0002-7728-8941 Abstract. The aim of this paper, we offer a new class of sets called mω-closed sets in Micro topological spaces and we study some of its basic properties. It turns out that this class lies between the class of Micro closed sets and the class of Micro generalized closed sets. As applications of mω-closed sets, we introduce T mω -spaces, g T mω -spaces. Moreover, we obtain certain new characterizations for the T mω -spaces, g T mω -spaces. We introduce a new class of continuous maps called mω-continuous and to discuss some of its properties in terms of mω-closed. keywords: mω-closed sets, mω-open sets, T mω -spaces, g T mω -spaces, mω-continuous map and mω-irresolute map. 1. INTRODUCTION S. Chandrasekar [1] introduced and studied Micro Pre-open, Micro semi open, Mi- cro continuous, Micro pre-continuous and Micro semi-continuous in Micro topological spaces. S. Chandrasekar [2] Micro α-open sets and Micro α-continuity respectively. H. Z. Ibrahim [21, 22] introduced and studied Micro β -open sets and Micro b-open sets in Micro topology. S. Ganesan [20] introduced and studied Micro regular open sets and Micro π-open sets in Micro topological spaces. Recently, S. Ganesan [19] 285