5 papers
An Expansion of the Continuity Property
Jon M. Corson, Evan M. Lee
One of the advantages of working with Alexander-Spanier-Čech type cohomology theory is the continuity property: For inverse systems of sufficiently well-behaved spaces, the result…
Cofinite Graphs and their Profinite Completions
Amrita Acharyya, Jon M. Corson, Bikash Das
We generalize the idea of cofinite groups, due to B. Hartley. First we define cofinite spaces in general. Then, as a special situation, we study cofinite graphs and their uniform c…
Cofinite Connectedness and Cofinite Group Actions
Amrita Acharyya, Jon M. Corson, Bikash Das
We have defined and established a theory of cofinite connectedness of a cofinite graph. Many of the properties of connectedness of topological spaces have analogs for cofinite conn…
Coverings of Profinite Graphs
Amrita Acharyya, Jon M. Corson, Bikash Das
We define a covering of a profinite graph to be a projective limit of a system of covering maps of finite graphs. With this notion of covering, we develop a covering theory for pro…
Cofinite Graphs and Groupoids and their Profinite Completions
Amrita Acharyya, Jon M. Corson, Bikash Das
We define cofinite graphs and cofinite groupoids in a unified way that extends the notion of cofinite groups introduced by Hartley. The common underlying structure of all these obj…