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Maximal Filters in the Lattice of Partitions of an Infinite Set

Feldman, David Victor et al.
arXiv (All) · Papers
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03c20general-topology
We study maximal (proper) filters in the complete lattice of partitions of an infinite set~$X$. In the language of uniform spaces, these are precisely the atoms of the lattice of zero-dimensional uniformities on $X$, introduced by Pelant and Reiterman and studied further by Pelant, Reiterman, Rödl a
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