4 papers
math.GN2026
Many coarse topologies on the real line
Gerald Kuba
Let c denote the cardinality of the continuum. Let L denote the family of all Hausdorff topologies on the real line coarser than the natural topology. We construct 2^c pairwise non…
math.GN2026
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…
math.GR2026
Many non-embeddable infinite groups
Gerald Kuba
Let K be a set of infinite cardinals such that the cardinality of K is the first strong limit cardinal greater than uncountably many strong limit cardinals. We construct a family o…
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 i…