L -groups versus k -groups

Roman Frič

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 2, page 113-121
  • ISSN: 0862-7959

Abstract

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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 ω 1 .

How to cite

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Frič, Roman. "$L$-groups versus $k$-groups." Mathematica Bohemica 118.2 (1993): 113-121. <http://eudml.org/doc/29203>.

@article{Frič1993,
abstract = {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 $\omega _1$.},
author = {Frič, Roman},
journal = {Mathematica Bohemica},
keywords = {sequential convergence; FLUSH-convergence; free $k$-group; free sequential group; sequential space; sequential order; sequential convergence; FLUSH-convergence; free -group; free sequential group; sequential space; sequential order},
language = {eng},
number = {2},
pages = {113-121},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$L$-groups versus $k$-groups},
url = {http://eudml.org/doc/29203},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Frič, Roman
TI - $L$-groups versus $k$-groups
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 2
SP - 113
EP - 121
AB - 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 $\omega _1$.
LA - eng
KW - sequential convergence; FLUSH-convergence; free $k$-group; free sequential group; sequential space; sequential order; sequential convergence; FLUSH-convergence; free -group; free sequential group; sequential space; sequential order
UR - http://eudml.org/doc/29203
ER -

References

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