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math.GN2026
A Note on Compactness and Clique Size
David V. Feldman, Alexander Wilce
Say that a topological space has finite, respectively bounded, cliques iff every closed, irreflexive binary relation --- equivalently, every closed, loop-free directed graph --…
math.GN2026
Maximal Filters in the Lattice of Partitions of an Infinite Set
David Victor Feldman, Alexander Wilce
We study maximal (proper) filters in the complete lattice of partitions of an infinite set~. In the language of uniform spaces, these are precisely the atoms of the lattice of z…