Open AccessOn sheaves of Abelian groups and universality
Author(s) -
S.D. Iliadis,
Yu.V. Sadovnichy
Publication year - 2021
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2021.14422
Subject(s) - mathematics , universality (dynamical systems) , abelian group , pure mathematics , abelian category , discrete mathematics , algebra over a field , quantum mechanics , physics
Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been studied under the prism of this universality property. In this paper, studying classes of sheaves of Abelian groups, we construct proper universal elements for these classes, giving a positive answer to the existence of such elements in these classes.