Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778065 | Topology and its Applications | 2017 | 19 Pages |
Abstract
In set theory without the Axiom of Choice (AC), we study the deductive strength of variants of the Principle of Consistent Choices (PCC) and their relationship with the minimal cover property, the 2-compactness of generalized Cantor cubes, and with certain weak choice principles. (Complete definitions are given in Section “Notation and terminology”.) Among other results, we establish the following:
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Eleftherios Tachtsis,