A retraction theorem for topological fundamental groups with application to the Hawaiian earring

Abstract

A characterization of regular topological fundamental groups yields a `no retraction theorem' for spaces constructed in similar fashion to the Hawaiian earring.

4 pages

References in corpus (2)

• The fundamental group of the harmonic archipelago
• The Hawaiian earring group is topologically incomplete

Cited by in corpus (2)

• The Hawaiian earring group is topologically incomplete
• The Hawaiian earring group and metrizability