iPad & iPhone:
The Texture app must be open in the foreground to continue downloading. If it is not, the device's operating system may allow downloading to continue only for a few more minutes.
Android & Kindle:
If the Texture app is running in the background, the magazines will continue to be downloaded. However, if you completely exit the app (using Android Settings > Apps > Force Stop), downloading will stop. To restart the download on a specific issue, you will need to start the app again and select the issue from your library to restart the download.