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Dedicated to Professor Alexander N. Sharkovsky on the occasion of his 65th Birthday.In this paper, we construct a triangular map F on I 3 ðI ¼ ½0; 1Þ holding the following uniform property: All points ða; b; c Þ [ I 3 except those of the face I 2 0 ¼ {0} £ I 2 ; which are fixed by F, have as v-limit set the face I 2 0 : So, we are able to describe the family WðF Þ ¼ {v F ða; b; c Þ : ða; b; c Þ [ I 3 } for a continuous endomorphism defined in a compact metric space of dimensión higher than two, establishing that WðF Þ ¼ I 2 0 < {ð0; b; c Þ} ðb;c Þ[I 2 :