S ep 2 00 4 THE COMBINATORICS OF τ - COVERS

ar X iv : m at h / 04 09 06 8 v 2 [ m at h . G N ] 5 J ul 2 00 5 THE COMBINATORICS OF τ - COVERS

We solve four out of the six open problems concerning critical cardi-nalities of topological diagonalization properties involving τ-covers, show that the remaining two cardinals are equal, and give a consistency result concerning this remaining cardinal. Consequently, 21 open problems concerning potential implications between these properties are settled. We also give structural results based o...

ar X iv : m at h / 04 09 06 8 v 3 [ m at h . G N ] 1 7 M ay 2 00 7 THE COMBINATORICS OF τ - COVERS

We solve four out of the six open problems concerning critical cardi-nalities of topological diagonalization properties involving τ-covers, show that the remaining two cardinals are equal, and give a consistency result concerning this remaining cardinal. Consequently, 21 open problems concerning potential implications between these properties are settled. We also give structural results based o...

Several Comments about the Combinatorics of Τ-covers

In a previous work with Mildenberger and Shelah, we showed that the combinatorics of the selection hypotheses involving τ -covers is sensitive to the selection operator used. We introduce a natural generalization of Scheepers’ selection operators, and show that: (1) A slight change in the selection operator, which in classical cases makes no difference, leads to different properties when τ -cov...

ar X iv : h ep - p h / 04 12 32 6 v 1 2 2 D ec 2 00 4 Issues in the Extraction of m s and V us from Hadronic τ Decay Data

ep - p h / 06 12 35 6 v 2 4 M ar 2 00 7 On mass limits for leptoquarks from K 0 L → e ∓ μ ± , B 0 → e ∓ τ ± decays