Complex sentence: Surprisingly though, when passing to the space of infinite order jets "J ∞" this distribution is involutive and finite-dimensional: its dimension coincides with the dimension of the base manifold "M".
Split into simpler sentences: Surprisingly though, when passing to the space of infinite order jets "J ∞" this distribution is involutive and finite dimensional. Its dimension coinciding with the dimension of the base manifold "M".