@DanHulme That close vote was mine. The question is related to Android Studio (IDE), not specifically the Android SDK.
I don't think there will be a problem with the SDK having whitespace on its path in general case. The error message also mentions about potential issue with NDK.
Looking at existing questions tagged android-sdk, this doesn't seem any more developmenty than those. Don't forget that installing Android Studio is the officially recommended way to get the SDK (and it has a nicer interface to adb and adb logcat in particular).
Still, I won't vote. Because I'm actually a developer, I assume I have a poor grasp of what questions are relevant to non-developers, so I tend to not vote on the borderline cases, and I think it's extra important to stick to that now my vote is binding.
To be honest, I'm a developer too. Still, that question is about Android project's properties asking the location of Android SDK, not about SDK itself. I think we have to agree to disagree. (The question has been closed by Izzy though)
How do I build Android projects downloaded from Github without Android Studio? I usually try android update project, then ant debug, but usually run into appcompat with a broken path with does not work.
When there is build.gradle, it usually simpler. But without it something is usually missing.