Convergence of Filters on Bornological Vector Spaces and Neutrosophic Filters
Fatma Al-Basri*1, Asawer Khdeidan 2
1 Department of Mathematics, University of Al-Qadisiyah, 58001, Iraq
2 Department of Mathematics, University of Al-Qadisiyah, 58001, Iraq
Emails: fatma.Albasri@qu.edu.iq; asawer.jabbar@qu.edu.iq
Abstract
In this research, we construct new type of convergence of bornological vector spaces called convergence of filters through using conception bounded sets. As well, we have considered several characteristics of these concepts like Fréchet filter associated with sequence, filter that has a unique limit and ultra-filter which is very useful in the study of neutrosophic topological spaces and neutrosophic filters.
Keywords: Convergence; Bornology; Filter; Fréchet filter; neutrosophic topology; neutrosophic filter.