Compactness principles at small cardinals like ω₂ are consistent from large cardinals, remain independent of several classical conjectures including Suslin's Hypothesis and Whitehead's Conjecture, and are evaluated as potential new axioms.
Volume 1, extended ed., De Gruyter Expositions in Mathematics, vol
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Compactness for small cardinals in mathematics: principles, consequences, and limitations
Compactness principles at small cardinals like ω₂ are consistent from large cardinals, remain independent of several classical conjectures including Suslin's Hypothesis and Whitehead's Conjecture, and are evaluated as potential new axioms.