Michael spaces and Dowker planks

Agata Caserta; Stephen Watson

doi:10.4995/agt.2009.1738

Authors

Agata Caserta Seconda Università degli Studi di Napoli
Stephen Watson York University

DOI:

https://doi.org/10.4995/agt.2009.1738

Keywords:

Michael space, Michael function, NL property, Haydon plank

Abstract

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.

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Author Biographies

Agata Caserta, Seconda Università degli Studi di Napoli

Dipartimento di Matematica

Stephen Watson, York University

Department of Mathematics and Statistics

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