WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
A Spectrum of Semi-Perfect Functions in Topology: Classification and Implications
Authors: , , , , ,
Abstract: The distinctive features of common issues include large amounts of data and different degrees of
uncertainty. Therefore, creating novel mathematical techniques to address problems is essential; it is expected
that perfect functions will serve as the most useful tool in this situation. As a result, we look into various set
operator methods for producing perfect functions in this study. The relationships between particular classes of
perfect functions and associated conventional topologies are linked with symmetry. Through alignment, we can
investigate the characteristics and behavior of traditional topological ideas by studying sets. Under the structure of
primordial topological spaces, the current investigation proposes and discusses several fresh categories of perfect
functions, which include semi-perfect functions and semi-Lindelöf perfect functions. The traits they possess and
how they relate to different roles are investigated using instances, alternative examples, and expansions. The study
goes over how to calculate the cartesian product of arbitrary unions and finite intersections.
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Keywords: Topological Spaces, Compact Spaces, Perfect Functions, Semi-Lindelöf Spaces, Applications in Topology
Pages: 347-357
DOI: 10.37394/23206.2025.24.33