2-generated c-spaces are closely related with finite connective spaces, closure operators and graphs[5, 6]. In this article, we considered the question of whether arbitrary product, sum and quotient of 2-generated c-spaces are 2-generated or not. Further, a connected 2-generated c-space is characterized using S Y-connectedness.
In this paper, properties of quotient maps in c-spaces are studied in detail. A method of finding quotient space of topologizable and graphical c-spaces are described.
In this article, a stronger form of connectedness called Y-connectedness in c-spaces is introduced and some of its properties are studied. Using the notion of touching, some conditions under which union of Y-connected sub c-spaces of a c-space become Y-connected is also discussed.
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