*Definition [#m51d3a9b] A topological space is called finely paracompact if any open cover has a [[locally finite]] open refinement consisting of arcwise connected sets. *Reference [#p0714e7f] Vladimir P. Okhezin, ''On the fixed-point theory for non-compact maps and spaces.I'', Topological Methods in Nonlinear Analysis, Journal of the Juliusz Schauder Center, Volume 5, 1995, 83-100.