Author: Urs Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/open+map#LocalHomeosAreOpenMaps)) the example of local homeomorphisms
<a href="https://ncatlab.org/nlab/revision/diff/open+map/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/open+map/4">v4</a>, <a href="https://ncatlab.org/nlab/show/open+map">current</a>
Author: Urs Format: MarkdownItexAdded statement and proof ([here](https://ncatlab.org/nlab/show/open+map#Properties)) that preimages of open maps preserve both interiors as well as closures.
<a href="https://ncatlab.org/nlab/revision/diff/open+map/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/open+map/4">v4</a>, <a href="https://ncatlab.org/nlab/show/open+map">current</a>
Added statement and proof (here) that preimages of open maps preserve both interiors as well as closures.