A colour space uses a function known as a colour modal, this is a mathematical model that can be used to represent colours as many numbers. This is generally used with three of four colours.
Adding to this a mapping function creates a "footprint" known as a gamut, when this is cobined with a colour model it creates a new colour space. An example is RGB and sRGB are two different colour spaces based on the same colour model.
There are many colour models: RGB, CMYK, LCD etc. Different colour spaces are implemented in different ways depending on the capabilities of the system such as 16 bit, 32 bit, 64 bit systems etc.
Different colour spaces are used for different functions such as CMYK is used for prints and creating real paints, RGB is used for more digital use such as Photoshop
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