  We shed new light on the standard current algebra approach to the nonleptonic
two-body decays of single and double heavy charm baryons. By making use of the
completeness relation for the flavor wave functions of the ground state baryon
{\bf 20'} representation we are able to rewrite the results of the current
algebra approach in terms of the seven topological tensor invariants describing
the decays. The representation of the current algebra results in terms of
topological tensor invariants depends only on the initial and final state of
the process. The summation over intermediate states inherent to the current
algebra result is automatically taken care of in the tensor representation. In
this way one arrives at a new, quick and very compact assessment of the results
of the current algebra/pole model calculation. For example, one can quickly
identify the decays in which the p.v.\ $S$-wave amplitude is predicted to
vanish implying zero polarization asymmetries in these decays. We provide
tables of the values of the seven topological tensor invariants for all Cabibbo
favored and singly and doubly Cabibbo suppressed nonleptonic single and double
charm baryon decays. In total we treat 196 charm baryon decays. We also discuss
the charm preserving $\Delta C=0$ decays of single charm baryons and the usual
hyperon decays.
