On Nearly $\alpha$-Boundedness in L-Topological Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.5960Keywords:
Molecules, regular closed remoted neighborhood, topological space, limit and cluster points, filter, molecular nets, ideals, Nearly compact and Nearly bounded setsAbstract
In this paper, we introduce and study the concept of nearly boundedness on arbitrary subsets in topological spaces which depended on the notion of regular closed remoted neighborhood system. Several characterizations of nearly boundedness in terms of convergence theory of filter, molecular nets and ideals are obtained. We prove that the concept is good extension, productive and topologically invariant.
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