Complex sentence: In the mathematical field of topology, a regular homotopy refers to a special kind of homotopy between immersions of one manifold in another and the homotopy must go through immersions and extend continuously to a homotopy of the tangent bundle.
Split into simpler sentences: In the mathematical field of topology, a regular homotopy refers to a special kind of homotopy between immersions of one manifold in another. In particular, the homotopy must go through immersions and extend continuously to a homotopy of the tangent bundle.