Existence of well-filterifications of $T_0$ topological spaces

Guohua Wu, Xiaoyong Xi, Xiaoquan Xu +1

We prove that for every $T_0$ space $X$, there is a well-filtered space $W(X)$ and a continuous mapping $η_X: X\lra W(X)$ such that for any well-filtered space $Y$ and any continuo…