The Void Phenomenon consists in the apparent discrepancy be-tween the number of observed dwarf halos in cosmic voids and that expected from CDM simulations. We approach the problem considering the challenging prospects of detecting field dwarf systems with halo masses via ≤ 10~9 M_⊙, via their possible HI emission. A brief review of recent work is followed by prelim-inary results from the ALFALFA survey, which suggest the possibility, but not yet the proof, that such objects may have been already detected towards the outskirts of the Local Group.
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