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math.GN2016
Lonely points revisited
Jonathan L. Verner
In our previous paper, Lonely points, we introduced the notion of a lonely point, due to P. Simon. A point is lonely if it is a limit point of a countable dense-in-itself…
math.GN2016★ 1 cited
Lonely points in
Jonathan L. Verner
Inspired by the work of J. van Mill we define a new topological type --- lonely points. We show that the question of whether these points exist in is equivalent to finding a…
math.GN2012
Filter convergence in
Jonathan L. Verner
We give a necessary combinatorial condition on a filter F to admit an injective F-convergent sequence in . We also show that no analytic filter F admits an injective F-converge…