MENGER'S AND HUREWICZ'S PROBLEMS: SOLUTIONS FROM "THE BOOK" AND REFINEMENTS

By Boaz Tsaban. 2009

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We provide simplified solutions of Menger's and Hurewicz's prob- lems and conjectures, concerning generalizations of σ-compactness. The reader who is new to this field will find a self-contained treatment in Sections 1, 2, and 5. Sections 3 and 4 contain new results, based on the mentioned simplified solutions. The main new result is that there are concrete uncountable sets of

Subfields: Algebra and Number Theory, Geometry and Topology, Management Science and Operations Research

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