There's very little up front on the Globe Carmel to snag a hose. Brake levers. That's it. The shifters are Shimano RevoShift twisters.

And there's plenty of clearance between the handlebar and wheel. Long headtube and suspension fork. Upright bars. And a long quill stem that can be raised and lowered via a single bolt.

With all that clearance an oxygen hose can be curled up to take up the slack, zip-tied or clamped to the front rack, basket or handlebar, and still leave enough slack to reach the rider's face with relatively little risk of dangling into the front wheel.