Breathability is the ability of a fabric to allow air and moisture vapor to be transmitted through the material making it either more or less wearable.
Comfort is how the fabric feels on your skin when you are wearing it. This is based on both the breathability and the thickness and surface of the fabric itself.
Wrinkle Resistant is related to whether the fabric easily wrinkles or whether it can be folded or creased without wrinkles forming.
Function relates to the fabric and how it interacts with your skin. When choosing a fabric, make sure to choose one that reflects how you want to wear it – when choosing summer fabrics go for cooling ones and when choosing winter fabrics make sure they are warming.
Machine Wash relates to whether a fabric can be easily cleaned in the washing machine. If it cannot be machine washed, you can assume it either needs to be hand washed or dry cleaned.