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- Title
Variations of Statement, Variations of Strength. The Case of the Rival–Sands Theorems.
- Authors
Fiori-Carones, M.
- Abstract
The paper surveys results obtained mainly by the author with A. Marcone, P. Shafer, and G. Soldà centered around two theorems due to I. Rival and B. Sands. We analyze the strength of these theorems and their variations within the framework of reverse mathematics and Weihrauch reducibility. Some related combinatorial results are presented, as well as generalizations of these results to the uncountable. Open questions are formulated.
- Subjects
REVERSE mathematics; OPEN-ended questions; SAND; GENERALIZATION
- Publication
Journal of Mathematical Sciences, 2023, Vol 275, Issue 1, p1
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06655-z