Delhomme–Laflamme–Pouzet–Sauer space as groupoid - UTU Tutkimustietojärjestelmä

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Delhomme–Laflamme–Pouzet–Sauer space as groupoid

Tekijät: Dovgoshey, Oleksiy; Kostikov, Alexander

Kustantaja: Springer

Julkaisuvuosi: 2024

Lehti:: 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

Tiivistelmä

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.

Ladattava julkaisu

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.

AAM_Delhomme–Laflamme–Pouzet–Sauer_2024.pdf

Julkaisussa olevat rahoitustiedot:
Oleksiy Dovgoshey was supported by grant 359772 of the Academy of Finland.