Compact ultrametric spaces generated by labeled star graphs

Dovgoshey, Oleksiy; Cantor, Omer; Rovenska, Olga
Compact ultrametric spaces generated by labeled star graphs

Dovgoshey, Oleksiy
Cantor, Omer
Rovenska, Olga
Katso/Avaa
Lataukset: 

Combinatorial Press
doi:10.61091/ojac20-01
URI
https://doi.org/10.61091/ojac20-01
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Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe202601217243
Tiivistelmä

Let US be the class of all ultrametric spaces generated by labeled star graphs. We prove that compact US-spaces are the completions of totally bounded ultrametric spaces generated by decreasingly labeled rays. We characterize the ultrametric spaces which are weakly similar to finite US-spaces and describe these spaces by certain four-point conditions.

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