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- Title
Transitive quasi-uniform structures depending on a parameter.
- Authors
Iragi, Minani; Šlapal, Josef
- Abstract
In a category C with an (E , M )-factorization structure for morphisms, we prove that any subclass N of M which is closed under pullbacks determines a transitive quasi-uniform structure on C . In addition to providing a categorical characterization of all transitive quasi-uniform structures compatible with a topology, this result also permits us to establish a number of Galois connections related to quasi-uniform structures on C . These Galois connections lead to the description of subcategories of C determined by quasi-uniform structures. Several examples considered at the end of the paper illustrate our results.
- Subjects
MORPHISMS (Mathematics); ABELIAN categories; TOPOLOGY
- Publication
Aequationes Mathematicae, 2023, Vol 97, Issue 4, p823
- ISSN
0001-9054
- Publication type
Article
- DOI
10.1007/s00010-022-00937-8