What is topology of feedback for circuit?
This looks like a Series-Shunt circuit topology. The way I learned it was that after you identify the feedback circuit, trace the path from the input to that circuit. If you passed through an active device, it is series, otherwise it is shunt. Repeat that process for the output. Then if it is input series, and output shunt it is called "series-shunt."

Feedback is literally the "feeding" of the output "back" into the input. R2 is not in the path of the output signal to the input, thus it is not part of the feedback circuit (beta circuit).