Mahler coefficients of 1-Lipschitz measure-preserving functions on ℤp
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DOI: 10.1142/s1793042120500645
Abstract: In this work, we provide a complete description of Mahler coefficients of 1-Lipschitz measure-preserving functions on the ring of p-adic integers ℤp. Our techniques are mainly based on some congrue... read more here.
Keywords: measure preserving; coefficients lipschitz; lipschitz measure; preserving functions ... See more keywords
On ultrametric-preserving functions
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DOI: 10.1515/ms-2017-0342
Abstract: Abstract Characterizations of pseudoultrametric-preserving functions and semimetric-preserving functions are found. The structural properties of pseudoultrametrics which can be represented as a composition of an ultrametric and ultrametric-pseudoultrametric-preserving function are obtained. A dual form of Pongsriiam-Termwuttipong… read more here.
Keywords: preserving functions; ultrametric preserving;
Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility
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DOI: 10.3390/axioms12020123
Abstract: We present some lifting theorems for continuous order-preserving functions on locally and σ-compact Hausdorff preordered topological spaces. In particular, we show that a preorder on a locally and σ-compact Hausdorff topological space has a continuous… read more here.
Keywords: order preserving; continuous order; lifting theorems; preserving functions ... See more keywords