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math.GN2019
A generic approach to measuring the strength of completeness/compactness of various types of spaces and ordered structures
Hanna Ćmiel, Franz-Viktor Kuhlmann, Katarzyna Kuhlmann
With a simple generic approach, we develop a classification that encodes and measures the strength of completeness (or compactness) properties in various types of spaces and ordere…
math.GN2018
Construction of ball spaces and the notion of continuity
René Bartsch, Katarzyna Kuhlmann, Franz-Viktor Kuhlmann
Spherically complete ball spaces provide a framework for the proof of generic fixed point theorems. For the purpose of their application it is important to have methods for the con…