This volume contains the contributions presented by several colleagues as a tribute
to the mathematical and human qualities of Jos e Mar a Montesinos Amilibia on the
occasion of his seventieth birthday. The editors would like to express their thanks
to the contributors and their very especial gratitude to Jos e Mar a for his example
through many years of scienti c and personal contactWe deal with an example of a topology for the additive group of real numbers
R, which makes it a compact Hausdor topological group. Further, (R; ) is
connected, but neither arcwise connected, nor locally connected. Thus, it is nei-
ther a Lie group, nor a curve in the sense of H. Mazurkiewicz. The contribution
of this short note is to provide an elementary proof of the fact that it is not
arcwise connected.Peer ReviewedPostprint (published version
