Compressors, Gas Turbines and Jet Engines
The degree of reaction in an axial flow compressor is defined as the ratio of static enthalpy rise in the

Rotor to static enthalpy rise in the stage
Rotor to static enthalpy rise in the stator
Stator to static enthalpy rise in the stage
Stator to static enthalpy rise in the rotor

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Compressors, Gas Turbines and Jet Engines
The assumption made in two stage compression with inter-cooler is that

The compression in both the cylinders is polytropic
The suction and delivery of air takes place at constant pressure
All of the listed here
There is no pressure drop in the inter-cooler

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