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Abstract
Connected and compact sets play an important role in the topology and there are many properties of it which cannot be studied without these two concepts. For that reason in this paper a generalised form of connected and compact sets are inaugurated, titled as -connected and -compact sets. Such contemporary type of sets encircled by -connected and -compact sets. So in this present research some significant results which are in the form of theorems, lemmas and counter examples are considered under study.