  The pole structure of the P11 pion-nucleon partial wave is examined with the
emphasis on the 1700 MeV energy domain. The mechanism of eliminating continuum
ambiguities in pion-nucleon partial wave analyses by using the coupled channel
formalism, presented elsewhere for the piN -> etaN channel, is applied for the
piN -> K Lambda channel, with the aim to clarify the issue whether physical
reality requires none (VPI/GWU), one (KH80, CMB, Kent, Pittsburgh/ANL,
Giessen), or possibly two (Zagreb) poles of the partial wave T-matrix in the
1700 MeV range. The role of second inelastic channel for resolving the dilemma
is demonstrated. It is pointed out that the experiments for the piN -> K Lambda
and piN -> K Sigma channel, extremely important for the 1700 MeV range, are old
and inconclusive so an urgent need for remeasuring that channel is stressed.
