… it is now quite easy to give a proof of the Kuratowski theorem (see also … Kuratowski monoid
appears to be the most natural of the possible ways of making use of the Kuratowski theorem. …

In case F satisfies the conditions of our theorem, we get a complete answer as follows. Let K
be the function on 0~ u< eo inverse to H so that K (k)=~ k· Then LT/k converges or diverges …

… This theorem was proved by Kuratowski [2), and popularized as an exercise in Kelley's
General Topology [1, p. 57]. An illustration (X, A) of the closure-complement problem is a …

… In this article we formalize the Kuratowski closure-complement result: there is at most 14
distinct sets that one can produce from a given subset A of a topological space T by applying …

… The goal of this section is to prove this Kuratowski’s Closure-Complement Theorem.
Before, we review some facts of the elementary theory of topological spaces, and examine …

… We present a term rewriting system to solve a class of open problems that are generalisations
of Kuratowski’s closure-complement theorem. The problems are concerned with finding …

… In this paper we describe a solution of the famous Kuratowski closure-complement (and, as
a side-effect, the closure-interior) problem, which are more a kind of mathematical puzzle (or …

… In Section 4, we reconsider Kuratowski’s theorem in the context of formal languages, where
closure is replaced by Kleene or positive closure. We describe all possible algebras of lan…

… systems and a version of Kuratowski’s theorem in a general setting … operators, and hence
Kuratowski’s theorem holds for them. … In Section 4 we reconsider Kuratowski’s theorem in the …

… With regard to the latter, our choice was made with Kuratowski closure operators in mind. …
It was first drawn by Kuratowski [8]; in essence all of the arguments in this section go back to …