Topology + Foundations
32nd Summer Conference on Topology and Its Applications
A space is sequential if the closure of set can be obtained by iteratively adding limits of converging sequences. The sequential order of a space is a measure of how many iterations are required. A space is scattered if every non-empty set has a relative isolated point. It is not known if it is consistent that there is a countable (or finite) upper bound on the sequential order of a compact sequential space. We consider the properties of compact scattered spaces with infinite sequential order.
Copyright © 2017, the Author
Dow, Alan, "Sequential Order of Compact Scattered Spaces" (2017). Summer Conference on Topology and Its Applications. 18.