Abstract: Let us consider a
topological space X and a continuous
map The non-standard version of the
Borsuk-Ulam theorem proved in [1], states that, under certain conditions on X
and j, for a given map although the existence of a point such that x
and are collapsed by f
cannot always be assured, a very interesting phenomenon concerning the three
points and occurs when for any In this paper, we establish
efficient methods which allow to apply the non-standard version of the
Borsuk-Ulam theorem for graphs and for the suspension SX of a space X.
Keywords and phrases: Borsuk-Ulam theorems, free maps, coincidence points, graphs.
