TY - JOUR
T1 - Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces
AU - Eda, Katsuya
PY - 2011
Y1 - 2011
N2 - We strengthen previous results on the fundamental groups of the Hawaiian earring and wild Peano continua. Let X be a path-connected, locally path-connected, first countable space which is not locally semi-simply connected at any point. If the fundamental group π1(X) is a subgroup of a free product *j∈ JHj, then it is contained in a conjugate subgroup to some Hj.
AB - We strengthen previous results on the fundamental groups of the Hawaiian earring and wild Peano continua. Let X be a path-connected, locally path-connected, first countable space which is not locally semi-simply connected at any point. If the fundamental group π1(X) is a subgroup of a free product *j∈ JHj, then it is contained in a conjugate subgroup to some Hj.
KW - Fundamental group
KW - Hawaiian earring
KW - Wild space
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U2 - 10.2969/jmsj/06330769
DO - 10.2969/jmsj/06330769
M3 - Article
AN - SCOPUS:80052424789
SN - 0025-5645
VL - 63
SP - 769
EP - 787
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
IS - 3
ER -