Your comments

I could certainly show a list of recently opened files in a Popover when tapping on the file name label. Also, a close button would fit nicely in there.

My problem really was how to implement this without wasting space – that's why I didn't want to have tabs (as in browsers like Firefox). I agree that this would really be a great solution.
It's implemented in Textastic 2.1 which is currently in review at Apple. See http://feedback.textasticapp.com/feedback/22877-whats-new-in-textastic-21/
Thanks! I'll try to find the cause for this behaviour.
Thanks, I'll consider it. I implemented it this way because that's how Apple's Mail implements the move command. But of course you're likely to have more file system folders than mail folders.
Can you please tell me the steps I need to follow to reproduce the problem? Unfortunately, I use Subversion myself so I'm not familiar with Git, sorry.
Textastic 2.1 is currently in review at Apple.

New Features:
• SFTP (SSH connection) support with user/password and public key authentication
• FTPS (FTP over SSL) support
• New settings for FTP: connection mode (active or passive) and encoding
• More keys in the additional row above the standard keyboard (the row is now scrollable)

Fixed:
• Fixed some auto-correction bugs
• Fixed issues with international keyboards
• There was a crash when trying to open the WebDAV screen while not on a wifi network

Thanks to your feedback, this version also fixes some other minor issues.
Please add any features (like custom style sheets for preview) you would like to see.

I'd like to know how you use Markdown in your workflow.