Robert Rałowski: Mycielski among trees - nonstandard proofs

Tuesday, October 29, 2019 17:15

Room: D1-215

Speaker:
Robert Rałowski

Title: Mycielski among trees - nonstandard proofs

Abstract. We present proofs of Mycielski like Theorem for sigma ideal of meager subsets of Baire space and Egglestone like Theorem. In both proofs we use Schoenfield Absolutness Theorem. In Mycielski Theorem we replace the term perfect set by slalom perfect set what is some strengthen of the classical version. Results are from common paper with Marcin Michalski and Szymon Żeberski.