Category:Definitions/Sections of Mappings

This category contains definitions related to Sections of Mappings.
Related results can be found in Category:Sections of Mappings.

Let $\phi: S \to T$ be a continuous surjective mapping.

Let $I_T: T \to T$ be the identity mapping on $T$.

Then a section of the mapping $\phi$ is a mapping $\sigma: T \to S$ which is a continuous right inverse of $\phi$:

$\sigma: T \to S \text { such that } \phi \circ \sigma = I_T$