The Alexandroff Duplicate and its subspaces

Agata Caserta; Stephen Watson

doi:10.4995/agt.2007.1880

Authors

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

DOI:

https://doi.org/10.4995/agt.2007.1880

Keywords:

Resolution, Alexandroff duplicate, Lindelöf property, Michaeltype line

Abstract

We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate. This characterization clarifies the potential for finding Michael spaces among the subspaces of Alexandroff duplicates.

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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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