Theorem T000381

$T_1$ ∧ Markov $k$-Rothberger ⇒ Hemicompact

Proved for $T_{3 \frac{1}{2}}$ spaces as one of the implications of Theorem 3.22 in MR 3991109. Shown in MathOverflow 450531 to only require $T_1$.

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• Converse
• References

The converse ( Hemicompact ⇒ $T_1$ ∧ Markov $k$-Rothberger ) cannot be proven from other theorems or disproven from a counterexample.

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