7 citations · 25 across the 21 of their papers we have counts for
8 papers · 1 filter
Siblings of an -categorical relational structure
Claude Laflamme, Maurice Pouzet, Norbert Sauer +1
A sibling of a relational structure is any structure which can be embedded into and, vice versa, in which can be embedded. Let be the number of siblings of…
Distinguishing Number of Countable Homogeneous Relational Structures
C. Laflamme, L. Nguyen Van Thé, N. W. Sauer
The distinguishing number of a graph is the smallest positive integer such that has a labeling of its vertices with labels for which there is no non-trivial automor…
Combinatorial aspects of F(sigma) filters with an application to N-sets
Claude Laflamme
We discuss F(sigma) filters and show that the minimum size of a filter base generating an undiagonalizable filter included in some F(sigma) filter is the better known bounded evasi…
Filter games and combinatorial properties of winning strategies
Claude Laflamme
We characterize winning strategies in various infinite games involving filters on the natural numbers in terms of combinatorics or structural properties of the given filter. These…
A few special ordinal ultrafilters
Claude Laflamme
We prove various results on the notion of ordinal ultrafiters introduced by J. Baumgartner. In particular, we show that this notion of ultrafilter complexity is independent of the…
Strong meager properties for filters
Claude Laflamme
We analyze several ``strong meager'' properties for filters on the natural numbers between the classical Baire property and a filter being . Two such properties have been stud…
Models with second order properties, V: A General principle
Bradd Hart, Claude Laflamme, Saharon Shelah
We present a general framework for carrying out some constructions. The unifying factor is a combinatorial principle which we present in terms of a game in which the first player c…
Bounding and dominating number of families of functions on N
Claude Laflamme
We pursue the study of families of functions on the natural numbers, with emphasis here on the bounded families. The situation being more complicated than the unbounded case, we at…