MATH 240

Methods of Set Theory

Mathematics · 4 units · Graduate courses (200-299)

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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.

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Requisites

Official UCLA wording
Requisites: courses 110A, 110B, 121, 131A, 131B.

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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 33ALinear Algebra and Applications1 more beneath
MATH 110BAlgebra
- MATH 110AAlgebraanother path to it

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.