20 citations · 20 across the 4 of their papers we have counts for
4 papers
Locally compact, -compact spaces
Peter Nyikos, Lyubomyr Zdomskyy
An -compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, -compact space is …
Hilbert's first and second problems and the foundations of mathematics
Peter J. Nyikos
This survey article on Hilbert's first and second problems is adapted from a one-hour colloquium lecture given at the University of Auckland in May, 2000, just three months before…
Various topologies on trees
Peter J. Nyikos
This is a survey article on trees, with a modest number of proofs to give a flavor of the way these topologies can be efficiently handled. Trees are defined in set-theorist fashion…
Gently Killing S--spaces
Todd Eisworth, Peter Nyikos, Saharon Shelah
We produce a model of ZFC in which there are no locally compact first countable S-spaces, and in which 2^{aleph_0}<2^{aleph_1}. A consequence of this is that in this model there ar…