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Selection principles in mathematics: A milestone of open problems


Abstract


We survey some of the major open problems involving selection principles, diagonalizations, and covering properties in topology and infinite combinatorics. Background details, definitions and motivations are also provided.

DOI Code: 10.1285/i15900932v22n2p179

Keywords: Gerlits-Nagy $gamma$ property; Galvin-Miller strong $gamma$ property; Menger property; Hurewicz property; Rothberger property; Gerlits-Nagy $(ast)$ property; Arkhangel'skii property; Sakai property; Selection principles; Infinite game theory; Ramsey Theory

Classification: 37F20; 26A03; 03E75

Full Text: PDF


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