5 citations · 9 across the 6 of their papers we have counts for
7 papers
On the ABK Conjecture, alpha-well Quasi Orders and Dress-Schiffels product
Uri Abraham, Robert Bonnet, Mirna Džamonja +1
The following is a 2008 conjecture of Abraham, Bonnet and Kubiś: [ABK Conjecture] Every well quasi order (wqo) is a countable union of better quasi orders (bqo). We obtain a partia…
Ultrafilter selection and Corson compacta
Robert Bonnet, Wieslaw Kubiś, Stevo Todorčević
We study the question which Boolean algebras have the property that for every generating set there is an ultrafilter selecting maximal number of its elements. We call it the ultraf…
Vietoris hyperspaces of scattered Priestley spaces
T. Banakh, R. Bonnet, W. Kubiś
We study Vietoris hyperspaces of closed and closed final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is \emph{Skula} if its to…
Countable Successor Ordinals as Generalized Ordered Topological Spaces
Robert Bonnet, Arkady Leiderman
A topological space is called a linear ordered topological space (LOTS) whenever there is a linear order on such that the topology on is generated by the open se…
A classification of CO spaces which are continuous images of compact ordered spaces
Robert Bonnet, Matatyahu Rubin
A compact Hausdorff space X is called a CO space, if every closed subset of X is homeomorphic to an open subset of X. Every successor ordinal with its order topology is a CO space.…
Free Boolean algebras over unions of two well orderings
Robert Bonnet, Latifa Faouzi, Wiesław Kubiś
Given a partially ordered set there exists the most general Boolean algebra which contains as a generating set, called the {\it free Boolean algebra} over . We st…
Poset algebras over well quasi-ordered posets
Uri Abraham, Robert Bonnet, Wieslaw Kubis
A new class of partial order-types, class $\gbqo^+$ is defined and investigated here. A poset is in the class iff the free poset algebra is generated by a better…