/sci/ - Science & Math

I have the function

f:(R, T(a,b)) x (R, T[a,b)) -> (R, T[a,b)), f(x, y) = x,

where T(a,b) is the topology generated by the open intervals (a, b) and T[a,b) is generated by the half open intervals [a, b).

Is f continuous?

Alright fags, I'm learning math on my own -- for fun. I'm almost done with Calculus I. Which courses should I do next or even concurrently? What's the most intuitive order of maths to learn? Thanks.