# Sh:858

- Mildenberger, H., Shelah, S., & Tsaban, B. (2007).
*The combinatorics of \tau-covers*. Topology Appl.,**154**(1), 263–276. arXiv: math/0409068 DOI: 10.1016/j.topol.2006.04.011 MR: 2271787 -
Abstract:

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_{\rm fin}(\Gamma,T), then X satisfies Hurewicz’ property U_{\rm fin}(\Gamma,\Gamma).

Some results on the additivity of these properties and special elements are also provided.

- Version 2006-04-23_11 (17p) published version (14p)

Bib entry

@article{Sh:858, author = {Mildenberger, Heike and Shelah, Saharon and Tsaban, Boaz}, title = {{The combinatorics of $\tau$-covers}}, journal = {Topology Appl.}, fjournal = {Topology and its Applications}, volume = {154}, number = {1}, year = {2007}, pages = {263--276}, issn = {0166-8641}, mrnumber = {2271787}, mrclass = {03E17 (03E05 54D20 54D80)}, doi = {10.1016/j.topol.2006.04.011}, note = {\href{https://arxiv.org/abs/math/0409068}{arXiv: math/0409068}}, arxiv_number = {math/0409068} }