Fodor-type Reflection Principle and reflection of metrizability and meta-Lindelöfness

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Fodor-type Reflection Principle and reflection of metrizability and meta-Lindelöfness

We introduce a new reflection principle which we call “Fodor-type Reflection Principle” (FRP). This principle follows from but is strictly weaker than Fleissner’s Axiom R. For instance, FRP does not impose any restriction on the size of the continuum, while Axiom R implies that the continuum has size ≤ א2. We show that FRP implies that every locally separable countably tight topological space X...

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2010

ISSN: 0166-8641

DOI: 10.1016/j.topol.2009.04.068