Abstract
We introduce the concept of a natural transformation on a nearness approximation space. We show that natural transformations and the nearness approximation spaces are categories. Also, we characterize an epimorphism and a monomorphism in these categories. In addition, we prove that the category of a nearness approximation space does not necessarily have a product but for some families of an approximation spaces have a coproduct.
Citation
Somayeh Khodaii. Seyed Mohammad Anvariyeh. Bijan Davvaz. Saeid Alikhani. Saeed Mirvakili. "ON NEAR APPROXIMATIONS." Rocky Mountain J. Math. 54 (6) 1673 - 1692, December 2024. https://doi.org/10.1216/rmj.2024.54.1673
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