### The combinatorics of $\tau$-covers

by Mildenberger and Shelah and Tsaban. [MShT:858]

Topology and its Applications, 2007

We compute the critical cardinalities for some topological
properties involving tau-covers. A surprising structure
counterpart of one of the computations is that, using Scheepers'
notation:
If X^2 satisfies S_fin (Gamma,T), then X satisfies
Hurewicz' property U_fin (Gamma, Gamma) .
Some results on the additivity of these properties and special
elements are also provided.

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