|
|||||
|
|
The combinatorics of τ-covers |
|
| Authors: | Heike Mildenberger Boaz Tsaban |
| Institution: | a Universität Wien, Institut für formale Logik, Währinger Str. 25, A-1090 Vienna, Austria b Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel c Mathematics Department, Rutgers University, New Brunswick, NJ, USA d Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel |
| Abstract: | We solve four out of the six open problems concerning critical cardinalities 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 on the combinatorial techniques. |
| Keywords: | 03E05 54D20 54D80 |
| 本文献已被 ScienceDirect 等数据库收录！ | |