Category:Open Mappings

From ProofWiki
Jump to navigation Jump to search

This category contains results about Open Mappings.


Let $\struct {S_1, \tau_1}$ and $\struct {S_2, \tau_2}$ be topological spaces.

Let $f: S_1 \to S_2$ be a mapping.


Then $f$ is said to be an open mapping if and only if:

$\forall U \in \tau_1: f \sqbrk U \in \tau_2$

where $f \sqbrk U$ denotes the image of $U$ under $f$.