Variations on Kuratowski's 14-set theorem [article]

David Sherman
2004 arXiv   pre-print
Kuratowski's 14-set theorem says that in a topological space, 14 is the maximum possible number of distinct sets which can be generated from a fixed set by taking closures and complements. In this article we consider the analogous questions for any possible subcollection of the operations closure, complement, interior, intersection, union, and any number of initially given sets. We use the algebraic "topological calculus" to full advantage.
arXiv:math/0405401v1 fatcat:g4hc5fds4jfqnfcq4mvwzqab24