8 citations · 19 across the 8 of their papers we have counts for
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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…
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.
On productively Lindelöf spaces
Franklin D. Tall, Boaz Tsaban
The class of spaces such that their product with every Lindelöf space is Lindelöf is not well-understood. We prove a number of new results concerning such productively Lindelöf spa…