Sub-posets in ${\omega }^{\omega }$ and the Strong Pytkeev${}^{\ast }$ Property

Ziqin Feng, Naga Chandra Padmini Nukala

Tukey order are used to compare the cofinal complexity of partially order sets (posets). We prove that there is a $2^{\mathfrak{c}}$-sized collection of sub-posets in $2^{\omega }$ which for…