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pro vyhledávání: '"Carlos Augusto Di Prisco"'
Autor:
Carlos Augusto Di Prisco
Publikováno v:
Notices of the American Mathematical Society. 68:1
Publikováno v:
Mathematical Logic Quarterly.
Ellentuck theorem Abstract Ellentuck Theorem (Todorcevic). If (R,≤, r) satisfies axioms A.1–A.4, and R is closed as a subspace of ARN then (R,≤, r) is a topological Ramsey space. Examples R = N[∞] R = FIN [∞] R = FIN [∞] kEllentuck Theore
Publikováno v:
How Colours Matter to Philosophy ISBN: 9783319673974
This paper surveys some results on combinatorial aspects of infinite Ramsey-type problems inspired by finite properties, and intends to explain the relevance of an alternative set-theoretical principle formulated in the language of colors, the so-cal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99df72798e76857538d107ced12c7f79
https://doi.org/10.1007/978-3-319-67398-1_18
https://doi.org/10.1007/978-3-319-67398-1_18
Publikováno v:
Acta Mathematica Hungarica. 142:484-493
We address several questions related to the Ramsey degree of the class of infinite structures isomorphic to the positive integers with the usual ordering. In particular we study the strength of stating that this class has finite Ramsey degree in the
Publikováno v:
Proceedings of the American Mathematical Society. 140:2255-2265
It is shown that Matet’s characterization of the Ramsey property relative to a selective co-ideal H \mathcal {H} , in terms of games of Kastanas, still holds if we consider semiselectivity instead of selectivity. Moreover, we prove that a co-ideal
Publikováno v:
Fundamenta Mathematicae. 208:249-262
Autor:
Joan Bagaria, Carlos Augusto Di Prisco
Publikováno v:
Archive for Mathematical Logic. 48:201-226
We consider several kinds of partition relations on the set \({\mathbb{R}}\) of real numbers and its powers, as well as their parameterizations with the set \({[\mathbb{N}]^{\mathbb{N}}}\) of all infinite sets of natural numbers, and show that they h
Autor:
Carlos Augusto Di Prisco
Publikováno v:
Bulletin of Symbolic Logic. 8:101-104
Publikováno v:
Journal of Combinatorial Theory, Series A. 93:333-349
It is shown that for every primitive recursive sequence {mi}∞i=0 of positive integers, there is an ackermannic sequence {ni}∞i=0 of positive integers such that for every partition of the product ∏∞i=0ni into two Borel pieces, there are sets H
Publikováno v:
Journal of Symbolic Logic. 65:461-473
In this paper, we study partition properties of the set of real numbers. The meaning of “set of real numbers” will vary, referring at times to the collection of sequences of natural numbers, ωω; the collection of infinite sets of natural number