Elements of Topological Algebra. III. The Closed Category of Filters
William H. Rowan

TL;DR
This paper investigates the category of filters and germs of admissible partial functions, demonstrating that it forms a nonsymmetric closed category, thus contributing to the understanding of topological algebra structures.
Contribution
It establishes that the category of filters and germs of admissible partial functions is a nonsymmetric closed category, expanding the categorical framework in topological algebra.
Findings
$ ext{Fil}$ is a nonsymmetric closed category
The structure of filters and germs is formalized categorically
Advances understanding of topological algebra structures
Abstract
We explore the structure of , the category of filters and germs of admissible partial functions. In particular, we show that is a nonsymmetric closed category, as defined elsewhere by this and other authors.
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Taxonomy
TopicsAdvanced Algebra and Logic · Homotopy and Cohomology in Algebraic Topology · Fuzzy and Soft Set Theory
