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math.GN2025
Counting continua
Gerald Kuba
For infinite cardinals let denote the class of all compact Hausdorff spaces of weight and size . So if or . If F is a class of…
math.GN2025
On real functions with graphs either connected or locally connected
Gerald Kuba
Let S denote the family of all subspaces of the plane that are graphs of functions from the real line R to itself. We prove that S has two subfamilies G,H of spaces such that the c…