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Keywords:
sequential convergence; FLUSH-convergence; free $k$-group; free sequential group; sequential space; sequential order
sequential convergence; FLUSH-convergence; free $k$-group; free sequential group; sequential space; sequential order
Summary:
We investigate free groups over sequential spaces. In particular, we show that the free $k$-group and the free sequential group over a sequential space with unique limits coincide and, barred the trivial case, their sequential order is $\omega_1$.
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