Onat, Mehmet2025-03-232025-03-2320240354-5180https://doi.org/10.2298/FIL2429253Ohttps://hdl.handle.net/11486/4845One of the important research topics in the theory of topological transformation groups is to examine the relationships between the topological properties of a G-space X and the orbit space X / G . In [7], Antonyan and Smirnov studied the relationship between the Stone-Cech compactification of a completely regular space and the Stone-Cech compactification of the orbit space. A similar study was done for the Hewitt realcompactification in [8, 14]. In this paper, we obtain that the c-realcompactification of the orbit space X / G is homeomorfic to the orbit space of the c-realcompactification of X , when G is a finite discrete group and X is a completely regular G-space. We will also show a similar result for almost realcompactification.eninfo:eu-repo/semantics/closedAccessc-realcompactificationalmost realcompactificationorbit spacegroup actionArticle3829102531025910.2298/FIL2429253O2-s2.0-85214808324Q3WOS:001390005600001Q2