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Strongly Ultrametric Preserving Functions by Dovgoshey, Oleksiy is a scholarly article available to read on EtoBox.

What is Strongly Ultrametric Preserving Functions about?

An ultrametric preserving function $f$ is said to be strongly ultrametric preserving if ultrametrics $d$ and $f \circ d$ define the same topology on $X$ for each ultrametric space $(X,d)$. The set of all strongly ultrametric preserving functions is characterized by several distinctive features. In particular, it is shown that an ultrametric preserving $f$ belongs to this set iff $f$ preserves the property to be compact.

Author

Dovgoshey, Oleksiy

Published

2024

Language

EN