Condensed vs. degenerate matter?

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How much is "condensed matter" "degenerate matter" and vice versa?
The transition between crystal and liquid is a step change between long range order and disorder.
The transition between liquid and gas is a step change at boiling point up to critical point - at pressures from around 30 to a few hundred bars for all substances except He and H2
In the supercritical region, the transition from gas to liquid is necessarily continuous transition.
What are the most useful/popular indicators of the liquid/gas transition in supercritical region?
Can the density of gas (as in, behaving on the gas side of liquid/gas transition) be said to increase with pressure?
 
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