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- W2048562407 abstract "In this paper, the initial and final L-proximities, for a notion of L-proximity introduced by the author and others in 1998, are investigated. This L-proximity is called L-proximity of the internal type. This paper shows that all initial and final lifts in the category L-PRI of L-proximity spaces of the internal type and hence all initial and final L-proximities of the internal type exist. The expected relation between the initial L-proximities of the internal type and the initial L-topologies, the initial global L-neighborhood structures, the initial L-uniform structures is verified. That is, the L-topology (global L-neighborhood structure) associated with the initial of a family of L-proximities of the internal type coincides with the initial of the family of L-topologies (global L-neighborhood structures) associated with these L-proximities of the internal type. Moreover, the L-proximity of the internal type associated with the initial of a family of L-uniform structures coincides with the initial of the family of L-proximities of the internal type associated with these L-uniform structures." @default.
- W2048562407 created "2016-06-24" @default.
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- W2048562407 date "2006-07-01" @default.
- W2048562407 modified "2023-09-28" @default.
- W2048562407 title "On -proximities of the internal type" @default.
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- W2048562407 doi "https://doi.org/10.1016/j.fss.2006.01.015" @default.
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