The Hawaiian earring group and metrizability

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Endowed with quotient topology inherited from the space of based loops, the fundamental group of the Hawaiian earring fails to be metrizable. The fundamental group of any space which retracts to the Hawaiian earring is also nonmetrizable.
5 pages

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Geometric Topology, Algebraic Topology, 57S30

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http://salesiana.dossiersoluciones.com/handle/123456789/110145

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603252
 http://arxiv.org/abs/math/0603252

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arXiv