Determinateness and continuity
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- by Andreas Blass PDF
- Proc. Amer. Math. Soc. 37 (1973), 572-574 Request permission
Abstract:
The axiom of determinateness is equivalent to the statement that, for every binary relation on the Cantor set, either the converse or the complement of the relation includes the graph of a continuous map of the Cantor set into itself.References
- Harvey M. Friedman, Higher set theory and mathematical practice, Ann. Math. Logic 2 (1970/71), no. 3, 325–357. MR 284327, DOI 10.1016/0003-4843(71)90018-0
- Jan Mycielski, On the axiom of determinateness, Fund. Math. 53 (1963/64), 205–224. MR 161787, DOI 10.4064/fm-53-2-205-224
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 572-574
- MSC: Primary 02K10; Secondary 26A15, 90D05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0485364-9
- MathSciNet review: 0485364