Set Theory

802

Axiomatic set theory; transfinite induction; regularity and choice; ordinal and cardinal arithmetic; miscellaneous additional topics.

Text: 

''No Text". Notes will be used.

Prerequisite: 

MATH 765 or MATH 791 or concurrent enrollment in MATH 765 or MATH 791, or equivalent evidence of mathematical maturity.

Credit Hours: 
3

OUTLINE

  Pairs, relations, and functions
  Partial orders
  Cardinality
  Induction
  Introduction to logic
  Axioms of set theory
  Axiom of choice
  Ordinals
  More on cardinals
  Set theoretic hierarchy
  Advanced topics chosen from the following:
     Filters and ideals
     Trees
     Ramsey theory
     Delta-system lemma
     CH
     MA
     Clubs and Diamond
 
(Porter 2014)
Frequency: 
Even Fall Semesters Only

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