Cammaroto, Filippo; Kočinac, D. R. Spaces related to \(\gamma\)-sets. (English) Zbl 1140.54005 Mat. Vesn. 58, No. 3-4, 125-129 (2006). Two theorems on \(\;k\)-\(\gamma\)-sets and \(\gamma'_k\)-sets which are closely related to the \(\gamma\)-spaces of J. Gerlits and Zs. Nagy [Topology Appl. 14, 151–161 (1982; Zbl 0503.54020)] are proved. These sets were introduced in the literature by means of selection principles and have been characterized by topological games. In this paper the corresponding characterizations are given using Ramsey theory. Reviewer: Mila Mršević (Beograd) Cited in 1 Document MSC: 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 05C55 Generalized Ramsey theory 03E02 Partition relations 91A44 Games involving topology, set theory, or logic Keywords:selection principles; Ramsey theory; game theory; \(\omega\)-cover; \(k\)-cover; \(\gamma\)-cover; \(\gamma_k\)-cover; \(\gamma\)-set; \(k\)-\(\gamma\)-set; \(\gamma'_k\)-set Citations:Zbl 0503.54020 PDFBibTeX XMLCite \textit{F. Cammaroto} and \textit{D. R. Kočinac}, Mat. Vesn. 58, No. 3--4, 125--129 (2006; Zbl 1140.54005) Full Text: EuDML