Can a Borel group be generated by a Hurewicz subspace?

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In this paper we formulate three problems concerning topological properties of sets generating Borel non-sigma-compact groups. In case of the concrete F_σδ-subgroup of the Cantor group this gives an equivalent reformulation of the Scheepers diagram problem.
6 pages; Latex2e; Submitted to Matematychni Studii

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