Properties of at most countable unions of pairwise disjoint sets in asymmetric spaces
We show that an at most countable nonsingleton union of pairwise disjoint proximinal sets is not a Chebyshev set. We also characterize the asymmetric linear spaces where each boundedly compact (approximatively compact) set is proximinal. Bibliography: 32 titles.
Authors
- Игорь Германович Царьков (ORCID: https://orcid.org/0000-0002-5943-3711)
Institutions
- Lomonosov Moscow State University (RU)
- Moscow Center For Continuous Mathematical Education (RU)
Publication Details
- Journal
- Sbornik Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/sm10104e
- Citations
- 1
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 3.69