Subsets of ^ωω and generalized metric spaces

Dennis K. Burke and Sheldon Davis

Vol. 110 (1984), No. 2, 273–281

DOI: 10.2140/pjm.1984.110.273

Abstract

In this note we use subsets of ^ωω and certain set-theoretic statements about such sets to solve, up to consistency, several questions concerning generalized metric spaces. These results are improvements of some of Michael’s work using the continuum hypothesis (hereafter CH) and some earlier work by the authors using CH and P(c).

Mathematical Subject Classification 2000

Primary: 54D55

Secondary: 03E65, 54E20

Milestones

Received: 4 June 1982

Revised: 15 September 1982

Published: 1 February 1984