| 03E02 | Partition relations |
| 03E04 | Ordered sets and their cofinalities; pcf theory |
| 03E05 | Other combinatorial set theory |
| 03E10 | Ordinal and cardinal numbers |
| 03E15 | Descriptive set theory [See also 28A05, 54H05] |
| 03E17 | Cardinal characteristics of the continuum |
| 03E20 | Other classical set theory (including functions, relations, and set algebra) |
| 03E25 | Axiom of choice and related propositions |
| 03E30 | Axiomatics of classical set theory and its fragments |
| 03E35 | Consistency and independence results |
| 03E40 | Other aspects of forcing and Boolean-valued models |
| 03E45 | Inner models, including constructibility, ordinal definability, and core models |
| 03E47 | Other notions of set-theoretic definability |
| 03E50 | Continuum hypothesis and Martin's axiom |
| 03E55 | Large cardinals |
| 03E60 | Determinacy principles |
| 03E65 | Other hypotheses and axioms |
| 03E70 | Nonclassical and second-order set theories |
| 03E72 | Fuzzy set theory |
| 03E75 | Applications of set theory |
| 03E99 | None of the above, but in this section |