Axiom of Choice
Equivalents, consequences, and independence.
Axiom of Choice. Equivalents, consequences, and independence. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of axiom of choice approach the subject from complementary angles. Jech, The Axiom of Choice (1973) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for axiom of choice include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1973The Axiom of Choicejech-1973
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