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- W4292242010 abstract "It was shown by the second named author that the equivalence classes of metrics on the two copies of a metric space X form an inverse semigroup M(X). Here we generalize this result to the uniform spaces. We define the composition of uniform structures on the two copies of a uniform space X and show that the equivalence classes of uniform structures are a semigroup U(X). We also give a characterization of idempotents in U(X). Our main result is that this semigroup is an inverse semigroup. We also compare this semigroup with Md(X) when (X,d) is a metric space." @default.
- W4292242010 created "2022-08-19" @default.
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- W4292242010 date "2022-10-01" @default.
- W4292242010 modified "2023-10-16" @default.
- W4292242010 title "An inverse semigroup from uniform structures on doubles" @default.
- W4292242010 cites W3081205328 @default.
- W4292242010 doi "https://doi.org/10.1016/j.topol.2022.108225" @default.
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