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Nov 28, 2018Open    AccessArticle

On Almost Pretopological Vector Spaces

Shallu Sharma, Madhu Ram, Sahil Billawria
In this paper, we introduce the notion of almost pretopological vector spaces and present some examples of almost pretopological vector spaces. Almost pretopological vector spaces are defined by using regular open sets and pre-open sets. The relationships of almost pretopological vector spaces with certain other types of spaces are provided. Along with some useful results, it is proved that in

Mar 09, 2016Open    AccessArticle

Weak Insertion of a Continuous Function between Two Comparable α-Continuous (C-Continuous) Functions

Majid Mirmiran
A sufficient condition in terms of lower cut sets is given for the insertion of a continuous function between two comparable real-valued functions.