The Hawaiian earring group and metrizability

Details The Hawaiian earring group and metrizability The Hawaiian earring group and metrizability

2006-03-10

arxiv.org/abs/math/0603252v1

Mathematics

Geometric Topology

5 pages

Scientific paper

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.

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