In this paper we intend to extract some types of generalized topologies from a topological space. To do this, we first generalize the derived set operator and the closure operator of a topological space using a class of subsets of the space, this collection is called the hereditary family since it is closed under the operation subset. The generalized closure operator induces a structure that is our desired generalized topology.
Talabeigi, A. (2022). Extension of topological derived set operator and topological closure set operator via a class of sets to construct generalized topologies. Caspian Journal of Mathematical Sciences, 11(1), 26-39. doi: 10.22080/cjms.2020.16460.1397
MLA
Amin Talabeigi. "Extension of topological derived set operator and topological closure set operator via a class of sets to construct generalized topologies", Caspian Journal of Mathematical Sciences, 11, 1, 2022, 26-39. doi: 10.22080/cjms.2020.16460.1397
HARVARD
Talabeigi, A. (2022). 'Extension of topological derived set operator and topological closure set operator via a class of sets to construct generalized topologies', Caspian Journal of Mathematical Sciences, 11(1), pp. 26-39. doi: 10.22080/cjms.2020.16460.1397
VANCOUVER
Talabeigi, A. Extension of topological derived set operator and topological closure set operator via a class of sets to construct generalized topologies. Caspian Journal of Mathematical Sciences, 2022; 11(1): 26-39. doi: 10.22080/cjms.2020.16460.1397
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