Yinhe Peng: PFA implies a class of hereditarily Lindelof spaces are D spaces

Place: Fields Institute (Room 210)

Date: September 22, 2017 (13:30-15:00)

Speaker: Yinhe Peng

Title: PFA implies a class of hereditarily Lindelof spaces are D spaces

Abstract: For a space X, OSM_X asserts that for any open neighbourhood assignment (or open set mapping) N, there is a partition of X into countably many pieces such that for each x, y in the same piece, either x is in N(y) or y is in N(x).

We introduce a property that will force OSM under PFA. We then use OSM to imply D, assuming additional properties (e.g., sub-Sorgenfrey).

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