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pro vyhledávání: '"Di Prisco, Carlos"'
We present several combinatorial properties of semiselective ideals on the set of natural numbers. The continuum hypothesis implies that the complement of every selective ideal contains a selective ultrafilter, however for semiselective ideals this i
Externí odkaz:
http://arxiv.org/abs/2306.12340
Autor:
Cano, Julián C., Di Prisco, Carlos A.
Topological Ramsey theory studies a class of combinatorial topological spaces, called topological Ramsey spaces, unifying the essential features of those combinatorial frames where the Ramsey property is equivalent to Baire property. In this article,
Externí odkaz:
http://arxiv.org/abs/2305.09611
Autor:
Di Prisco, Carlos
Publikováno v:
The Bulletin of Symbolic Logic, 2023 Dec 01. 29(4), 703-724.
Externí odkaz:
https://www.jstor.org/stable/27285443
We study families of infinite block sequences of elements of the space $\FIN_k$. In particular we study Ramsey properties of such families and Ramsey properties localized to a selective or semiselective coideal. We show how the stable ordered-union u
Externí odkaz:
http://arxiv.org/abs/1810.10054
Given a topological Ramsey space $(\mathcal R,\leq, r)$, we extend the notion of semiselective coideal to sets $\mathcal H\subseteq\mathcal R$ and study conditions for $\mathcal H$ that will enable us to make the structure $(\mathcal R,\mathcal H,\le
Externí odkaz:
http://arxiv.org/abs/1506.03488
Publikováno v:
Proc. Amer. Math. Soc. 140 (2012), 2255-2265
It is shown that Matet's characterization of the Ramsey property relative to a selective co-ideal $\mathcal{H}$, in terms of games of Kastanas, still holds if we consider semiselectivity instead of selectivity. Moreover, we prove that a co-ideal $\ma
Externí odkaz:
http://arxiv.org/abs/1009.3683