Quasi-Completion of Filter Spaces

Abstract

The category F IL of filter spaces being isomorphic to the category of grill-determined nearness spaces has become significant in the later part of the twentieth century. During that period, a substantial completion theory has been developed using the equivalence classes of filters in a filter space. However, that completion was quite general in nature, and did not allow the finest such completion. As a result, a completion functor could not be defined on F IL. In this paper, this issue is partially addressed by constructing a completion that is finer than the existing completions. Also, a completion functor is defined on a subcategory of F IL comprising all filter spaces as objects.

Ultrasonic Investigation of Bio-Liquid Mixtures of Methanol With Cinnamaldehyde by Interferometric Method Operated in the Frequency Range 1 MHZ-10 MHZ

“…Therefore it was though worthwhile to understand ultrasonic study on some bio-liquids and their mixtures. Methanol and cinnamaldehyde has large number of applications in biomedical technology and industries [4][5] .…”