The fundamental group of the harmonic archipelago

Simple item page
dc.creatorFabel, Paul
dc.date2005-01-24
dc.date.accessioned2026-07-07T05:16:21Z
dc.date.available2026-07-07T05:16:21Z
dc.descriptionThe 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0501426
dc.identifierhttp://arxiv.org/abs/math/0501426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73956
dc.subjectAlgebraic Topology
dc.subjectGeneral Topology
dc.subject57S30
dc.titleThe fundamental group of the harmonic archipelago
dc.typetext

Files

Collections

arXiv