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math.FA2024
Connected Hamel bases in Hilbert spaces
Gerald Kuba
Our main goal is to track down an algebraic basis of Hilbert space which is a connected and locally connected subset of the unit sphere.
math.GN2024
On compact subsets of the plane
Gerald Kuba
We construct a family F of compact and pathwise connected subsets of the Euclidean plane such that (i) the cardinality of F is that of the continuum (and hence extremely large) and…
math.GR2024
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…