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- W2235985128 abstract "The category FIL 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 FIL. 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 FIL comprising all filter spaces as objects. AMS Subject Classification: 54D35, 54A20, 54C20" @default.
- W2235985128 created "2016-06-24" @default.
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- W2235985128 date "2015-10-18" @default.
- W2235985128 modified "2023-09-27" @default.
- W2235985128 title "QUASI-COMPLETION OF FILTER SPACES" @default.
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- W2235985128 doi "https://doi.org/10.12732/ijpam.v104i3.13" @default.
- W2235985128 hasPublicationYear "2015" @default.
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