A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Delhomme–Laflamme–Pouzet–Sauer space as groupoid
Tekijät: Dovgoshey, Oleksiy; Kostikov, Alexander
Kustantaja: Springer
Julkaisuvuosi: 2024
Journal: Journal of Mathematical Sciences
Tietokannassa oleva lehden nimi: Journal of Mathematical Sciences (United States)
Vuosikerta: 284
Numero: 3
Aloitussivu: 315
Lopetussivu: 328
ISSN: 1072-3374
eISSN: 1573-8795
DOI: https://doi.org/10.1007/s10958-024-07352-1
Verkko-osoite: https://doi.org/10.1007/s10958-024-07352-1
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/457891158
Preprintin osoite: https://arxiv.org/abs/2407.00508
Let R+ = [0, ∞) and let d+ be the ultrametric on R+ such that d+(x, y) = max{x, y} for all different x, y ∈ R+. It is shown that the monomorphisms of the groupoid (R+, d+) coincide with the injective ultrametric-preserving functions and that the automorphisms of (R+, d+) coincide with the self-homeomorphisms of R+. The structure of endomorphisms of (R+, d+) is also described.
Julkaisussa olevat rahoitustiedot:
Oleksiy Dovgoshey was supported by grant 359772 of the Academy of Finland.
