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)

@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}
}