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math.GN2010★ 1 cited
Beta Spaces: New Generalizations of Typically-Metric Properties
Annie Carter, Daniel Lithio, Robert Niichel +1
It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-met…
math.GN2010
Generalized Hyperspaces and Non-Metrizable Fractals
Annie Carter, Daniel Lithio, Tristan Tager
Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the beha…