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.
