2 citations · 6 across the 6 of their papers we have counts for
8 papers
A Kuratowski closure-complement variant whose solution is independent of ZF
Michael P. Cohen, Todd Johnson, Adam Kral +2
We pose the following new variant of the Kuratowski closure-complement problem: How many distinct sets may be obtained by starting with a set of a Polish space , and applyin…
The closure-complement-frontier problem in saturated polytopological spaces
Sara Canilang, Michael P. Cohen, Nicolas Graese +1
Let be a space equipped with topologies which are pairwise comparable and saturated, and for each let and be the associated topolo…
Maximal pseudometrics and distortion of circle diffeomorphisms
Michael P. Cohen
We initiate a study of distortion elements in the Polish groups $\mbox{Diff}_+^k(\mathbb{S}^1)$ (), as well as $\mbox{Diff}_+^{1+AC}(\mathbb{S}^1)$, in terms of max…
Polishability of some groups of interval and circle diffeomorphisms
Michael P. Cohen
Let or and let . We exhibit a new infinite class of Polish groups by showing that each group , consisting of those $C…
On the large-scale geometry of diffeomorphism groups of -manifolds
Michael P. Cohen
We apply the framework of Rosendal to study the large-scale geometry of the topological groups $\Diff_+^k(M^1)$, consisting of orientation-preserving -diffeomorphisms (for $1\…
Existence and genericity of finite topological generating sets for homeomorphism groups
Azer Akhmedov, Michael P. Cohen
We show that the topological groups and of orientation-preserving -diffeomorphisms of the interval and the circle, respectively,…