Zobrazeno 1 - 10
of 357
pro vyhledávání: '"TODORCEVIC, STEVO"'
Publikováno v:
Proc. Amer. Math. Soc. 150 (2022), 3177--3187
We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not have a dense metrizable subspace. We also give several remarks about cc
Externí odkaz:
http://arxiv.org/abs/2403.15799
Autor:
Todorcevic, Stevo, Zhang, Jing
We investigate higher dimensional chain conditions, where the largeness notion is given by Fubini products of a given ideal. From strong saturation properties of an ideal, we derive abstractly versions of higher dimensional $\Delta$-system lemma, whi
Externí odkaz:
http://arxiv.org/abs/2310.11369
Autor:
Kurilić, Miloš S., Todorčević, Stevo
The poset of copies of a relational structure ${\mathbb X}$ is the partial order ${\mathbb P} ({\mathbb X} ) := \langle \{ Y \subset X: {\mathbb Y} \cong {\mathbb X}\}, \subset \rangle$ and each similarity of such posets (e.g. isomorphism, forcing eq
Externí odkaz:
http://arxiv.org/abs/2310.09860
Autor:
Corral, Cesar, Guzman, Osvaldo, Lopez-Callejas, Carlos, Memarpanahi, Pourya, Szeptycki, Paul, Todorcevic, Stevo
We introduce a generalization of sequential compactness using barriers on $\omega$ extending naturally the notion introduced in [W. Kubi\'{s} and P. Szeptycki, On a topological Ramsey theorem, \emph{Canad. Math. Bull.}, 66 (2023), {156}--{165}]. We i
Externí odkaz:
http://arxiv.org/abs/2309.04397
A structural analysis of construction schemes is developed. That analysis is used to give simple and new constructions of combinatorial objects which have been of interest to set theorists and topologists. We then continue the study of capturing axio
Externí odkaz:
http://arxiv.org/abs/2304.07624
It is proved that if there exists a Luzin set, or if either the stick principle or diamond(b) hold, then a strong instance of the guessing principle $\clubsuit_{AD}$ holds at the first uncountable cardinal. In particular, any of the above hypotheses
Externí odkaz:
http://arxiv.org/abs/2209.10504
Autor:
Todorcevic, Stevo, Tyros, Konstantinos
We prove a dualization of the Graham--Rothschild Theorem for variable words indexed by homogeneous trees.
Comment: 37 pages
Comment: 37 pages
Externí odkaz:
http://arxiv.org/abs/2207.14599