The fundamental group of the harmonic archipelago

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The harmonic archipelago HA is obtained by attaching a large pinched annulus to every pair of consecutive loops of the Hawaiian earring. We clarify the fundamental group pi1(HA) as a quotient of the Hawaiian earring group, provide a precise description of the kernel, show that both pi1(HA) and the kernel are uncountable, and that pi1(HA) has the indiscrete topology.
6 pages

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Algebraic Topology, General Topology, 57S30

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http://salesiana.dossiersoluciones.com/handle/123456789/73956

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501426
 http://arxiv.org/abs/math/0501426

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arXiv