What is the meaning of 'continuous almost everywhere - alpha'?

[math8]

what does continuous almost everywhere - alpha means?

I know that the term almost everywhere means that the property holds everywhere on the measurable space except on a subset of measure 0,what I don't really understand is the term almost everywhere-alpha.

 

[quadraphonics]

It's hard to say what that's intended to mean without knowing more context, but people will often indicate the specific measure that "almost everywhere" refers to, if it's not obvious from context.

 

[math8]

yes, I think you're right, the measure which is used here is alpha and the function is probably continuous everywhere except on a subset A of the measurable space of measure alpha(A)=0