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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BYU ScholarsArchive
2014
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Online Access: | https://scholarsarchive.byu.edu/etd/4299 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5298&context=etd |