BICEP2 ’ s detection on the primordial B-mode of CMB polarization suggests that inflation occurred around GUT scale , with the tensor-to-scalar ratio r \simeq 0.2 .
Inspired by this discosvery , we study the topological inflation which was driven by a double/single/no well potential .
We show that with proper choice of parameters , all these three types of topological inflationary models could be consistent with the constraints from current observations .