On meager function spaces, network character and meager convergence in topological spaces

Taras Banakh, Volodymyr Mykhaylyuk, Lyubomyr Zdomskyy

For a non-isolated point $x$ of a topological space $X$ the network character $n{w}_{\chi }(x)$ is the smallest cardinality of a family of infinite subsets of $X$ such that each neighborho…