Complex sentence: Consequently, if V\\ subseteq C ^ r is a closed connected complex submanifold of complex dimension n, then V has the homotopy type of a CW complex of real dimension\\ le n.
Split into simpler sentences: Consequently, if V\\ subseteq C ^ r is a closed connected complex submanifold of complex dimension n. Then V has the homotopy type of a CW complex of real dimension\\ le n.