  In this paper one presents a collection of results about the "bar codes" and
"Jordan blocks" introduced by Burghelea-Day as "computer friendly" invariants
of a tame angle-valued map and one relates these invariants to the Betti
numbers, Novikov Betti numbers and the monodromy of the underlying space and
map.
  Among others, one organizes the bar codes as two configurations of points in
C\0 and one establishes their main properties: stability property and when the
underlying space is a closed topological manifold, Poincar\'e duality property.
One also provides an alternative "computer friendly" definition of the
monodromy of an angle valued map based on the algebra of linear relations as
well as a refinement of Morse and Morse-Novikov inequalities.
