differential topology
Noun
Meaning
differential topology (uncountable)
(mathematics) Field dealing with differentiable functions on differentiable manifolds.
Synonyms
Examples
Differential topology In differential topology : Let and be smooth manifolds and be a smooth map.
Differential topology is the study of the (infinitesimal, local, and global) properties of structures on manifolds that have only trivial local moduli ; differential geometry, at least one non-trivial local moduli.
Differential topology Differential topology is the study of (global) geometric invariants without a metric or symplectic form.
Description Differential topology considers the properties and structures that require only a smooth structure on a manifold to be defined.