Statistical Semi-convergence in Topological Framework
Resumen
This paper explains a novel concept of statistical semi-convergence under the context of topology. The classical idea of statistical convergence is expanded to encompass a larger class of sequences in the conventional topological sense by using semi-open sets. The connection between statistical semi-convergence and other recognized types of convergence is also examined. The Uniqueness of the limit of statistical semi-convergence and preservation under semi-continuous function has been established. In addition to providing new analytical methods for handling sequences in more extended topological spaces, this work expands the application of convergence theory. Lastly, the concept of statistical semi-limit point and statistical semi-cluster point has also been discussed.
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