Bubbling of quasiregular maps

We give a version of Gromov’s compactness theorem for pseudoholomorphic curves in the case quasiregular mappings between closed manifolds. More precisely we show that, given $$K\ge 1$$ and $$D\ge , any sequence $$(f_n :M \rightarrow N)$$ K-quasiregular degree D Riemannian d-manifolds has subsequence which converges to mapping $$f:X\rightarrow N$$ on nodal d-manifold X.