Combinatorial Principles and some questions concerning L-like properties
  and DC$_{\kappa}$

Banerjee, Amitayu

Combinatorial Principles and some questions concerning L-like properties and DC$_{\kappa}$

arXiv, Tome 2019 (2019) no. 0, / Harvested from

Résumé

We extend a result of Arthur Apter which answer a question of Matthew Foreman and Menachem Magidor related to mutually stationary sets. We also extend a result of Arthur Apter which answer a question of W. Hugh Woodin and prove a conjecture by Ioanna Dimitriou. Simultaneously, we study different symmetric extensions based on Levy Collapse where for a cardinal $\kappa$, $DC_{\kappa}$ either holds or fails. Further, we observe the relationship of the fat diamond principle and other L-like properties with level by level equivalence between strong compactness and supercompactness.

Publié le : 2019-03-14
Classification: Mathematics - Logic

@article{1903.05945,
     author = {Banerjee, Amitayu},
     title = {Combinatorial Principles and some questions concerning L-like properties
  and DC$\_{\kappa}$},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1903.05945}
}

Banerjee, Amitayu. Combinatorial Principles and some questions concerning L-like properties
  and DC$_{\kappa}$. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1903.05945/