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Diamond on ladder systems and countably metacompact topological spaces
Rodrigo Carvalho, Tanmay Inamdar, Assaf Rinot
The property of countable metacompactness of a topological space gets its importance from Dowker's 1951 theorem that the product of a normal space X with the unit interval is again…
On strong chains of sets and functions
Tanmay Inamdar
Shelah has shown that there are no chains of length increasing modulo finite in . We improve this result to sets. That is, we show that there are no chains of le…
A club guessing toolbox I
Tanmay Inamdar, Assaf Rinot
Club guessing principles were introduced by Shelah as a weakening of Jensen's diamond. Most spectacularly, they were used to prove Shelah's ZFC bound on the power of the first sing…
Was Ulam right? II: Small width and general ideals
Tanmay Inamdar, Assaf Rinot
We continue our study of Sierpinski-type colourings. In contrast to the prequel paper, we focus here on colourings for ideals stratified by their completeness degree. In particular…