Linked from
The 9 pages that link to Differential topology, each with the reason it gives.
TopologyBroader topic: It applies topological reasoning to spaces that also carry smooth structure.
Poincaré lemmaNarrower topic: The lemma links differential forms to local topological properties.
Whitney embedding theoremNarrower topic: The theorem became a foundational result in this field.
Sard's theoremNarrower topic: Sard's theorem is a foundational tool for its genericity arguments.