A new small Dowker space

Posted on March 28, 2022 by Assaf Rinot in categories: Squares and Diamonds, Topology.

Joint work with Roy Shalev and Stevo Todorcevic.

Abstract. It is proved that if there exists a Luzin set, or if either the stick principle or $\diamondsuit(\mathfrak b)$ hold, then an instance of the guessing principle $\clubsuit_{AD}$ holds at the first uncountable cardinal.
In particular, any of the above hypotheses entails the existence of a Dowker space of size $\aleph_1$.

 

 

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One Response to A new small Dowker space

  1. saf says:
    December 23, 2022 at 11:24 am

    Submitted to Periodica Mathematica Hungarica, April 2022.
    Accepted, December 2022.

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