Faculty Publications

Antidiamond Principles And Topological Applications

Document Type

Article

Keywords

Antidiamond, Continuum hypothesis, Diamond, Forcing, P-ideal, S-space

Journal/Book/Conference Title

Transactions of the American Mathematical Society

Volume

361

Issue

11

First Page

5695

Last Page

5719

Abstract

We investigate some combinatorial statements that are strong enough to imply that fails (hence the name antidiamonds); yet most of them are also compatible with CH. We prove that these axioms have many consequences in set-theoretic topology, including the consistency, modulo large cardinals, of a Yes answer to a problem on linearly Lindelöf spaces posed by Arhangel'skiǐ and Buzyakova (1998). © 2009 American Mathematical Society.

Department

Department of Mathematics

Original Publication Date

11-1-2009

DOI of published version

10.1090/S0002-9947-09-04705-9

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