Cardinal functions of purely atomic measures

Szymon Głab, Jacek Marchwicki

Let $\mu$ be a purely atomic measure. By $f_{\mu }:[0,\infty )\to \{0,1,2,\dots ,\omega ,\mathfrak{c}\}$ we denote its cardinal function $f_{\mu }(t)=|\{A\subset \mathbb{N}:\mu (A)=t\}|$. We study t…