  Inclusive K+ production in proton-proton collisions has been measured at a
beam energy of 2.16 GeV using the COSY-ANKE magnetic spectrometer. The
resulting spectrum, as well as those corresponding to K+ p and K+ pi+
correlated pairs, can all be well described using consistent values of the
total cross sections for the pp->K+ p Lambda, pp->K+ p Sigma0, and pp->K+ n
Sigma+ reactions. While the resulting values for Lambda and Sigma0 production
are in good agreement with world data, our value for the total Sigma+
production cross section, sigma(pp->K+ n Sigma+) = 2.5+/-0.6(stat)+/-0.4(syst)
mkb at an excess energy of epsilon=129 MeV, could only be reconciled with other
recently published data if there were a highly unusual near--threshold
behaviour.
