On the-Numbers of Some Generalized Kuratowski Operators in Topology

Ratna Dev Sarma, Ankit Gupta
Innovative Approach in Applied Physical, Mathematical/Statistical, Chemical Sciences and Emerging Energy Technology for Sustainable Development   unpublished
If is a topological space and ⊆ , then the number of distinct setsthat can be obtained from A by using all possible compositions of pre-closure and complement is at most 10. Similarly, this number for , , is 8,14 and 10 respectively. Explicit expressions for these sets areprovided. An example is also provided where all these different sets are realized.A collection of all the semi groups (monoids) of the monoid generated by , that is is provided. 2010 Mathematics Subject Classification: Primary
more » ... sification: Primary 54A05.