Homeomorphisms of Cech-Stone remainders: the zero-dimensional case
classification
🧮 math.LO
keywords
remainderszero-dimensionalaxiomcasecech--stonecech-stonecocompactcompact
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We prove, using a weakening of the Proper Forcing Axiom, that any homemomorphism between Cech--Stone remainders of any two locally compact, zero-dimensional Polish spaces is induced by a homeomorphism between their cocompact subspaces.
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