Definition:Inessential Mapping

Definition

Let $X$ and $Y$ be topological spaces.

Let $f: X \to Y$ be a continuous mapping.

$f$ is an inessential mapping if it is homotopic to a continuous mapping whose image consists of a single point of $Y$.

Also known as

An inessential mapping is also known as an inessential map.

Also see

• Definition:Essential Mapping

• Results about inessential mappings can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): homotopy
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): homotopy