Antidiamond principles and topological applications
Antidiamond, Continuum hypothesis, Diamond, Forcing, P-ideal, S-space
Transactions of the American Mathematical Society
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 of Mathematics
Original Publication Date
DOI of published version
Eisworth, Todd and Nyikos, Peter, "Antidiamond principles and topological applications" (2009). Faculty Publications. 2205.