Add to ORKGIn this paper we explore coloring theorems for the reals, its quotients, cardinals, and their combinations. This work is done under the scope of the axiom of determinacy. We also explore generalizations of Mycielski's theorem and show how these can be used to establish coloring theorems. To finish, we discuss the strange realm of long unions
AbstractThis paper is a proof of the following theorem: ωω→(ωω, 3)2 Here ωω denotes the ordinal expo...
AbstractIn this paper we present a very simple analytic proof of some congruences for generalized Fr...
partitions 1 2 Erd}os, Jackson and Mauldin 1. The m point property for m 3. We consider here several...
It is shown that, within L(R), the smallest inner model of set theory containing the reals, the axio...
In this paper we study the relationship between AD and strong partition properties of cardinals as w...
We show that the pairs (2-element subsets; edges of the complete graph) of a set of cardinality ℵ1 c...
This is an unpolished exposition of some work in the theory of projective ordinals under the hypoth...
Let ω = {0, 1, 2, ... } be the set of natural numbers and R = ω^ω the set of all infinite sequences ...
AbstractWe consider partition relations for pairs of elements of a countable topological space. For ...
Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Furth...
We will start by introducing some variants of the concept of partition regularity and by defining th...
In this thesis, we present a number of results in combinatorial set theory, especially in Ramsey the...
This paper is a contribution to the study of projective sets under the hypothesis of definable deter...
We give a new proof of a determinant evaluation due to Andrews, which has been used to enumerate cyc...
The following results are proved, using the axiom of Pro-jective Determinacy: (i) For n ̂ 1, every ...
AbstractThis paper is a proof of the following theorem: ωω→(ωω, 3)2 Here ωω denotes the ordinal expo...
AbstractIn this paper we present a very simple analytic proof of some congruences for generalized Fr...
partitions 1 2 Erd}os, Jackson and Mauldin 1. The m point property for m 3. We consider here several...
It is shown that, within L(R), the smallest inner model of set theory containing the reals, the axio...
In this paper we study the relationship between AD and strong partition properties of cardinals as w...
We show that the pairs (2-element subsets; edges of the complete graph) of a set of cardinality ℵ1 c...
This is an unpolished exposition of some work in the theory of projective ordinals under the hypoth...
Let ω = {0, 1, 2, ... } be the set of natural numbers and R = ω^ω the set of all infinite sequences ...
AbstractWe consider partition relations for pairs of elements of a countable topological space. For ...
Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Furth...
We will start by introducing some variants of the concept of partition regularity and by defining th...
In this thesis, we present a number of results in combinatorial set theory, especially in Ramsey the...
This paper is a contribution to the study of projective sets under the hypothesis of definable deter...
We give a new proof of a determinant evaluation due to Andrews, which has been used to enumerate cyc...
The following results are proved, using the axiom of Pro-jective Determinacy: (i) For n ̂ 1, every ...
AbstractThis paper is a proof of the following theorem: ωω→(ωω, 3)2 Here ωω denotes the ordinal expo...
AbstractIn this paper we present a very simple analytic proof of some congruences for generalized Fr...
partitions 1 2 Erd}os, Jackson and Mauldin 1. The m point property for m 3. We consider here several...