Selection principles in uniform spaces


We begin the investigation of selection principles in uniform spaces in a manner as it was done with selection principles theory for topological spaces. We introduced and characterized uniform versions of classical topological notions of the Menger, Hurewicz and Rothberger properties. The uniform γ-sets are also considered.

DOI Code: 10.1285/i15900932v22n2p127

Keywords: Uniform space; Selection principles; Uniform Menger; Uniform Hurewicz; Uniform Rothberger; Uniform $gamma$-set; $omega$-cover; $gamma$-cover; Groupability; Weak groupability

Classification: 54E15; 54D20

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