Degree structures of hyperspaces over unusual ground types
In this article, we investigate the degree structures of various hyperspaces. One of our goals is to gain a topological understanding of higher-type computability using negative information, and to this end, we mainly explore the degree structures of hyperspaces whose ground types are endowed with cofinite topology or its relatives.
Authors
- Takayuki Kihara (ORCID: https://orcid.org/0000-0002-1611-952X)
- Keng Meng Ng (ORCID: https://orcid.org/0000-0002-7113-0596)
Institutions
- Nanyang Technological University (SG)
- Nagoya University (JP)
Publication Details
- Journal
- Computability
- Published
- 2026-10-27
- DOI
- https://doi.org/10.1177/22113568261468521
- Primary Topic
- Computability, Logic, AI Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Education - Singapore
- Japan Society for the Promotion of Science