Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness
by Shelah and Tsaban. [ShTb:768]
J Applied Analysis, 2003
Motivated by the minimal tower problem, an earlier work studied
diagonalizations of covers where the covers are related to linear
quasiorders (tau-covers). We deal with two types of combinatorial
questions which arise from this study.
(a) Two new cardinals introduced in the topological study are
expressed in terms of well known cardinals characteristics of the
(b) We study the additivity numbers of the combinatorial notions
corresponding to the topological diagonalization notions.
This gives new insights on the structure of the eventual dominance
ordering on the Baire space, the almost inclusion ordering on the
Rothberger space, and the interactions between them.
Back to the list of publications