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Last update: T_KTI (11.04.2001)
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Last update: RNDr. Jan Hric (07.06.2019)
Naučit zákaldy teorie množin |
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Last update: RNDr. Pavel Zakouřil, Ph.D. (05.08.2002)
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Last update: T_KTI (19.05.2004)
Ordinal and cardinal arithmetic. The axiom of regularity. The cummulative hierarchy of sets. Well-founded relations and induction. Collapsing theorems. Transitive models. Constructible sets. Consistence of the axiom of choice and the generalization continuum hypothesis. Ultrapowers and elementary embeddings. Measurable and inaccessible cardinals. Bulean-valued models, generic extensions. Independence of the continuum hypothesis. Non-regular set theory with strong choice and with the axiom of superuniversality. Nonstandard methods. Applications. |