$L$-groups versus $k$-groups
Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 113-121

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MR Zbl
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 $\omega_1$.
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 $\omega_1$.
DOI : 10.21136/MB.1993.126049
Classification : 22A99, 54A20, 54H11
Keywords: sequential convergence; FLUSH-convergence; free $k$-group; free sequential group; sequential space; sequential order
Frič, Roman. $L$-groups versus $k$-groups. Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 113-121. doi: 10.21136/MB.1993.126049
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