9 citations · 44 across the 28 of their papers we have counts for
4 papers · 1 filter
Countable Tightness and the Grothendieck Property in -Theory
Franklin D. Tall
The Grothendieck property has become important in research on the definability of pathological Banach spaces [CI], [HT], and especially [HT20]. We here answer a question of Arhange…
The Strength of Menger's Conjecture
Franklin D. Tall, Stevo Todorcevic, Seçil Tokgöz
Menger conjectured that subsets of R with the Menger property must be -compact. While this is false when there is no restriction on the subsets of R, for projective subsets it i…
Model Theory for -theorists
Clovis Hamel, Franklin D. Tall
We survey discrete and continuous model-theoretic notions which have important connections to general topology. We present a self-contained exposition of several interactions betwe…
Pseudocompactness and the Uniform Metastability Principle in Model Theory
Clovis Hamel, Franklin D. Tall
We prove that uniform metastability is equivalent to all closed subspaces being pseudocompact and use this to provide a topological proof of the metatheorem introduced by Caicedo,…