Partition relations for Hurewicz-type selection hypotheses

Topology and its Applications

Volumn 156, Issue 3, 2009, Pages 616-623

  Samet, Nadav ^a   Scheepers, Marion ^b   Tsaban, Boaz ^a,c  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b BOISE STATE UNIVERSITY   (United States)

^c BAR ILAN UNIVERSITY   (Israel)

Author keywords

covers; Hurewicz covering property; Ramsey theory of open covers; Selection principles

Indexed keywords

EID: 58349086716     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2008.08.013     Document Type: Article

References (11)

1. Babinkostova L., Kočinac Lj., and Scheepers M. Combinatorics of open covers (VIII). Topology Appl. 140 (2004) 15-32
2. Baumgartner J., and Taylor A. Partition theorems and ultrafilters. Trans. Amer. Math. Soc. 241 (1978) 283-309
3. Hurewicz W. Über Folgen stetiger Funktionen. Fund. Math. 9 (1927) 193-204
4. Kočinac Lj. Generalized Ramsey theory and topological properties: A survey. Rend. Sem. Mat. Messina Ser. II 9 (2003) 119-132
5. Kočinac Lj., and Scheepers M. Combinatorics of open covers (VII): Groupability. Fund. Math. 179 (2003) 131-155
6. Menger K. Einige Überdeckungssätze der Punktmengenlehre. Sitzungsberichte der Wiener Akademie 133 (1924) 421-444
7. N. Samet, B. Tsaban, Ramsey theory of open covers, unpublished notes
8. Scheepers M. Combinatorics of open covers I: Ramsey theory. Topology Appl. 69 (1996) 31-62
9. Scheepers M. Open covers and partition relations. Proc. Amer. Math. Soc. 127 (1999) 577-581
10. Tsaban B. Selection principles and the minimal tower problem. Note Mat. 22 (2003) 53-81
11. Tsaban B. Strong γ-sets and other singular spaces. Topology Appl. 153 (2005) 620-639