Lattices of Extensions of Cyclically Ordered Sets and Compactifications of Generalized Cyclically Ordered Spaces
The notion of an extension and a completion of a cyclically ordered set is introduced. It is shown that the family of all extensions of a cyclically ordered set has the structure of a complete lattice. Completions, which are cyclically ordered compactifications of generalized cyclically ordered spaces, are complete sublattices of this lattice.
Authors
- G. B. Sorin
Institutions
- Lomonosov Moscow State University (RU)
- Moscow Center For Continuous Mathematical Education (RU)
Publication Details
- Journal
- Mathematical Notes
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1134/s0001434624090335
- Citations
- 1
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 1.01