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Answer by Harry West for Without choice, can every homomorphism from a...

There are two common definitions of what it means for a topological group to be profinite, which I’ll distinguish as “formally profinite” and “compact profinite”.Formally profinite: an inverse limit of...

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Answer by BS. for Without choice, can every homomorphism from a profinite...

Saharon Shelah (elaborating on Solovay) proved that it is equiconsistent with ZF that there exists a model of ZF+DC (DC=dependent choice, ) in which all sets of reals have the Baire property. And...

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Without choice, can every homomorphism from a profinite group to a finite...

In ZFC, some homomorphisms from profinite groups to finite groups are discontinuous. For instance, see the examples in this question. However, all three constructions given use consequences of the...

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