DOI: 10.1177/22113568261468521 ISSN: 2211-3568

Degree structures of hyperspaces over unusual ground types

Takayuki Kihara, Keng Meng Ng

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.

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