On sheaves of Abelian groups and universality

Authors

  • S. D. Iliadis Moscow State University ; Moscow Center of Fundamental and Applied Mathematics
  • Yu. V. Sadovnichy Moscow State University ; Moscow Center of Fundamental and Applied Mathematics

DOI:

https://doi.org/10.4995/agt.2021.14422

Keywords:

sheaves, universal sheaves, universal spaces, containing spaces, saturated classes of spaces

Abstract

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. 

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Author Biographies

S. D. Iliadis, Moscow State University ; Moscow Center of Fundamental and Applied Mathematics

Professor of Faculty of Mechanics and Mathematics

Yu. V. Sadovnichy, Moscow State University ; Moscow Center of Fundamental and Applied Mathematics

Professor of Faculty of Mechanics and Mathematics

References

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Published

2021-04-01

How to Cite

[1]
S. D. Iliadis and Y. V. Sadovnichy, “On sheaves of Abelian groups and universality”, Appl. Gen. Topol., vol. 22, no. 1, pp. 149–167, Apr. 2021.

Issue

Section

Regular Articles