The Existence of a Discontinuous Homomorphism Requires a Strong Axiom of Choice

Conner and Spencer used ultrafilters to construct homomorphisms between fundamental groups that could not be induced by continuous functions between the underlying spaces. We use methods from Shelah and Pawlikowski to prove that Conner and Spencer could not have constructed these homomorphisms with...

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Bibliographic Details
Main Author: Andersen, Michael Steven
Format: Others
Published: BYU ScholarsArchive 2014
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/4299
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5298&context=etd