9 citations · 44 across the 28 of their papers we have counts for
7 papers · 1 filter
PFA(S)[S] and Locally Compact Normal Spaces
Franklin D. Tall
We examine locally compact normal spaces in models of form PFA(S)[S], in particular characterizing paracompact, countably tight ones as those which include no perfect pre-image of…
On the hereditary paracompactness of locally compact, hereditarily normal spaces
Paul Larson, Franklin D. Tall
We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space which does not include a pe…
Set-theoretic problems concerning Lindelof spaces
Franklin D. Tall
I survey problems concerning Lindelof spaces which have partial set- theoretic solutions.
PFA(S)[S] and the Arhangel'skii-Tall problem
Franklin D. Tall
We discuss the Arhangel'skii-Tall problem and related questions in models obtained by forcing with a coherent Souslin tree.
Productively Lindelof spaces may all be D
Franklin D. Tall
We give easy proofs that a) the Continuum Hypothesis implies that if the product of X with every Lindelof space is Lindelof, then X is a D-space, and b) Borel's Conjecture implies…
Lindelof spaces which are indestructible, productive, or D
Franklin D. Tall, Leandro F. Aurichi
We discuss relationships in Lindelof spaces among the properties "indestructible", "productive", "D", and related properties.