Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Chodounsk��, David"'
We study ultrafilters on countable sets and reaping families which are indestructible by Sacks forcing. We deal with the combinatorial characterization of such families and we prove that every reaping family of size smaller than the continuum is Sack
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d84a2179187323d4ebc39d9e65ff3fa0
http://arxiv.org/abs/2110.07945
http://arxiv.org/abs/2110.07945
Autor:
Balko, Martin, Chodounsk��, David, Dobrinen, Natasha, Hubi��ka, Jan, Kon��cn��, Mat��j, Vena, Lluis, Zucker, Andy
We characterize the big Ramsey degrees of free amalgamation classes in finite binary languages defined by finitely many forbidden irreducible substructures, thus refining the recent upper bounds given by Zucker. Using this characterization, we show t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d973d25200c505f197e63452c64ecc23
http://arxiv.org/abs/2110.08409
http://arxiv.org/abs/2110.08409
Autor:
Balko, Martin, Chodounsk��, David, Hubi��ka, Jan, Kone��n��, Mat��j, Ne��et��il, Jaroslav, Vena, Llu��s
Using the Carlson-Simpson theorem, we give a new general condition for a structure in a finite binary relational language to have finite big Ramsey degrees
6 pages, extended abstract accepted to EUROCOMB 2021
6 pages, extended abstract accepted to EUROCOMB 2021
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a9b96391c4d7724c5080136630e81d9
http://arxiv.org/abs/2105.12184
http://arxiv.org/abs/2105.12184
We investigate maximal free sequences in the Boolean algebra $\mathcal{P}(��)/\mathrm{fin}$, as defined by D. Monk. We provide some information on the general structure of these objects and we are particularly interested in the minimal cardinalit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f95b294bc5192d2a20045d037c78f0fd
We outline a portfolio of novel iterable properties of c.c.c. and proper forcing notions and study its most important instantiations, Y-c.c. and Y-properness. These properties have interesting consequences for partition-type forcings and anticliques
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52539d0ba5e689689b4d75242263e0ec
We define and study two classes of uncountable $\subseteq^*$-chains: Hausdorff towers and Suslin towers. We discuss their existence in various models of set theory. Then, some of the results and methods are used to provide examples of indestructible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6328b5b5e5404393d5b26558734e0ca