MATH 240Methods of Set Theory
Mathematics · 4 units · Graduate courses (200-299)
Naive, axiomatic set theory, axiom of choice and its equivalents, well-orderings, transfinite induction, ordinal and cardinal arithmetic. Applications to algebra: Hamel bases, Stone representation theorem. Applications to analysis and topology: Cantor/Bendixson theorem, counterexamples in measure theory, Borel and analytic sets, Choquet theorem.
When it runs
Not on the schedule for any of Fall 2025 through Spring 2027. UCLA publishes only that window, so this does not mean the course is gone — check the official listing.
Requisites
Official UCLA wording
Requisites: courses 110A, 110B, 121, 131A, 131B.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
MATH 240
- MATH 110AAlgebra
- MATH 115ALinear Algebra
- MATH 110BAlgebra
- MATH 117Algebra for Applications
- MATH 121Introduction to Topology
- MATH 131AAnalysis
- MATH 32BCalculus of Several Variables
- MATH 131BAnalysis
- MATH 33BDifferential Equations
5 direct requisites. Showing 19 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
No course in the catalog lists this as a requisite.