Embeddings in the Fell and Wijsman topologies

Lubica Hola

It is shown that if a $T_2$ topological space $X$ contains a closed uncountable discrete subspace, then the spaces $({\omega }_1+1{)}^{\omega }$ and $({\omega }_1+1{)}^{{\omega }_1}$ embed into $(CL(X),{\tau }_F)$, the…