101 citations · 491 across the 53 of their papers we have counts for
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math.GN2019★ 3 cited
Enumeration degrees and non-metrizable topology
Takayuki Kihara, Keng Meng Ng, Arno Pauly
The enumeration degrees of sets of natural numbers can be identified with the degrees of difficulty of enumerating neighborhood bases of points in a universal second-countable $T_0…
math.GN2016
Noetherian Quasi-Polish Spaces
Matthew de Brecht, Arno Pauly
In the presence of suitable power spaces, compactness of can be characterized as the singleton being open in the space of open subset…
math.GN2014★ 3 cited
Point degree spectra of represented spaces
Takayuki Kihara, Arno Pauly
We introduce the point degree spectrum of a represented space as a substructure of the Medvedev degrees, which integrates the notion of Turing degrees, enumeration degrees, continu…