Deutsch Intern
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Institute of Mathematics

Oberseminar "Mathematische Logik" - Dr. Ziemowit Kostana

Weak and parametrized diamonds -- formulations and applications
Date: 04/22/2024, 4:15 PM - 5:15 PM
Category: Veranstaltung
Location: Hubland Nord, Geb. 40, 01.003
Speaker: Dr. Ziemowit Kostana - Czech Academy of Sciences

I will give a short introduction to the set theoretic principles called weak (parametrized) diamonds.
These axioms are weakenings of the classical Diamond Prinicple of Jensen with interesting consequences, like for example:

- existence of Suslin trees,

- existence of many non-order-isomorphic uncountable sets of reals,

- existence of non-uniformizable colorings of ladder systems.

I will also present an alternative formulation of parametrized diamonds,
with possible new applications.