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A topological space X is called discretely generated if for any A⊆X and x∈A‾ there exists a discrete set D⊆A such that x∈D‾. We solve the Problems 3.19 and 3.3 in [2]. Problem 3.19: Does the space {ξ}∪ω embed into a box product of real lines when ξ∈βω∖ω? For any ξ∈βω∖ω, we answer negatively. Problem 3.3: Is any box product of first countable spaces discretely generated? We answer positively by assuming...
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