17 citations · 17 across the 4 of their papers we have counts for
4 papers
A Survey of Ultraproduct Constructions in General Topology
Paul Bankston
We survey various attempts to transport the ultraproduct construction from the realm of model theory to that of general topology.
A hierarchy of maps between compacta
Paul Bankston
Let be the class of compacta (i.e., compact Hausdorff spaces), with the subclass of Boolean spaces. For each ordinal and pair of subclasses of , we de…
Some applications of the ultrapower theorem to the theory of compacta
Paul Bankston
The ultrapower theorem of Keisler-Shelah allows such model-theoretic notions as elementary equivalence, elementary embedding and existential embedding to be couched in the language…
Co-elementary equivalence, co-elementary maps, and generalized arcs
Paul Bankston
By a {\bf generalized arc\/} we mean a continuum with exactly two non-separating points; an {\bf arc} is a metrizable generalized arc. It is well known that any two arcs are homeom…