The Hawaiian earring group and metrizability
Geometric Topology
2007-05-23 v1 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.math/0603252,
title = {The Hawaiian earring group and metrizability},
author = {Paul Fabel},
journal= {arXiv preprint arXiv:math/0603252},
year = {2007}
}
Comments
5 pages