Microsoft is adding an Edge-y experience to mobile devices not running the rarely seen Windows Mobile.  Android users who never heard of Arrow will now not know it as Microsoft Launcher; those who try will find a Chromium based browser which resembles Edge and knows a few of its tricks.  iOS users will be running Safari WebKit wrapped all the way to the Edge of their screens.  In both cases Edge will offer the same cross-system abilities as it does on PC, allowing you to immediately resume reading a document and sync apps from or to your mobile device.  That functionality does have prerequisites, you would need to be using a PC running Windows as one of your devices and it has to have the Fall Creators Update installed, which hasn't yet been pushed out.  If you haven't yet fallen asleep, you can continue on Ars Technica.

"As with Edge, the important part of the Launcher is the cross-device experience. Documents and photos has a "continue on PC" option that will open them up on a computer, making it easier to start working on the phone and then resume on a computer."

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