# Category:Open Mappings

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This category contains results about Open Mappings.

Let $\left({S_1, \tau_1}\right)$ and $\left({S_2, \tau_2}\right)$ 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:

- $\forall U \in \tau_1: f \left[{U}\right] \in \tau_2$

where $f \left[{U}\right]$ denotes the image of $U$ under $f$.

## Pages in category "Open Mappings"

The following 12 pages are in this category, out of 12 total.