The Copenhagen Variant of the Modal Interpretation and Quantum theory of measurement

The implications of the Copenhagen Variant of the Modal Interpretation of Quantum Mechanics are studied in the context of the quantum theory of measurement. Two formulations of this interpretation are discussed. Both of them imply specifications of the notion of measurement which go beyond the minimal calibration condition of a measurement. The weaker one implies some algebraic and topological constrains on the measurement coupling, whereas the stronger formulation of the same interpretation implies that measurements are necessarily of the first kind.