New results regarding the lattice of uniform topologies on $C(X)$

Roberto Pichardo-Mendoza, Alejandro Ríos-Herrejón

For a Tychonoff space $X$, the lattice ${\mathcal{U}}_X$ was introduced in L.A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, "The lattice of uniform topologies on $C(X…