Conflict sets are loci of intersecting wavefronts emanating from l
different surfaces. We show that generically conflict sets are Legendrian:
locally they admit the structure of wavefronts. Simple stable singularities for
this problem in Rn occur when 0β€nβlβ€4. Other related sets, such
as kite curves and centre sets are also defined and discussed. Throughout
canonical relations are used as an essential tool to carry out several of these
geometrical constructions.Comment: 20 pages, 12 figure