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cs.DM2025
Counting Specific Classes of Relations Regarding Fixed Points and Reflexive Points
Rudolf Berghammer, Jules Desharnais, Michael Winter
Given a finite and non-empty set and randomly selected specific functions and relations on , we investigate the existence and non-existence of fixed points and reflexive poi…
cs.DM2020
Algorithmic Counting of Zero-Dimensional Finite Topological Spaces With Respect to the Covering Dimension
Rudolf Berghammer, Steffen Börm, Michael Winter
Taking the covering dimension dim as notion for the dimension of a topological space, we first specify thenumber zdim_{T_0}(n) of zero-dimensional T_0-spaces on {1,...,n}$ and the…