6 papers
All spaces of countable spread can be small
Alan Dow, István Juhász
The main result of this paper is the proof of the simultaneous consistency, modulo a weakly compact cardinal, of the equality with the following…
Some results on the -weight of countable Fréchet-Urysohn spaces
Alan Dow
The -weight spectrum for countable regular Fréchet-Urysohn spaces is the set of uncountable cardinals that are equal to the -weight for some such space. We determine this…
New examples in the study of selectively separable spaces
Alan Dow, Hayden Pecoraro
The property of being selectively separable is well-studied and generalizations such as H-separable and wH-separable have also generated much interest. Bardyla, Maesano, and Zdomsk…
Sequentially compact separable spaces
Cesar Corral, Alan Dow, Paul Szeptycki
We consider the following variation of the Scarborough-Stone problem: Is always countably compact whenever is separable and sequentially compact?
Not OCA and products of Frechet spaces
Alan Dow
We continue the investigation of the question of whether the product of two countable Fréchet spaces must be M-separable. We are especially interested in this question in the pres…
Weight, net weight, and elementary submodels
Alan Dow, István Juhász
In this note we prove several theorems that are related to some results and problems from [6]. We answer two of the main problems that were raised in [6]. First we give a ZFC examp…