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math.GN2019
On first countable, cellular-compact spaces
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
As it was introduced by Tkachuk and Wilson, a topological space is cellular-compact if given any cellular, i.e. disjoint, family of non-empty open subsets of t…
math.GN2019
Spaces of small cellularity have nowhere constant continuous images of small weight
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
We call a continuous map nowhere constant if it is not constant on any non-empty open subset of its domain . Clearly, this is equivalent with the assumption that e…