Perfect pre-images of ω1 and the PFA

Abstract

AbstractAssuming the Proper Forcing Axiom, I give a widely applicable condition under which a pre-image of ω1 includes a homeomorphic image of ω1. This makes it possible to strengthen a number of results of Z. Balogh and P.J. Nyikos on non-metrizable manifolds and related spaces

Similar works

This paper was published in Elsevier - Publisher Connector .

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