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Set Theory pp 199-219 | Cite as

Alephs, Cofinality, and the Axiom of Choice

  • Abhijit Dasgupta
Chapter

Abstract

This chapter concludes our development of cardinals and ordinals. We introduce the first uncountable ordinal, the alephs and their arithmetic, Hartogs’ construction, Zermelo’s well-ordering theorem, the comparability theorem for cardinals, cofinality and regular, singular, and inaccessible cardinals, and the Continuum Hypothesis.

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Detroit MercyDetroitUSA

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