Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces
Katsuya EDA
Source: J. Math. Soc. Japan Volume 63, Number 3
(2011), 769-787.
Abstract
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.
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1312203798
Digital Object Identifier: doi:10.2969/jmsj/06330769
Zentralblatt MATH identifier: 05950719
Mathematical Reviews number (MathSciNet): MR2836742
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