Michael spaces and Dowker planks

Agata Caserta, Stephen Watson


We investigate the Lindelöf property of Dowker planks. In particular, we give necessary conditions such that the product of a Dowker plank with the irrationals is not Lindelöf. We also show that if there exists a Michael space, then, under some conditions involving singular cardinals, there is one that is a Dowker plank.


Michael space; Michael function; NL property; Haydon plank

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