From a general relativistic point of view, a person on the ground floor of a skyscraper ages...faster or slower than a person on the top floor?

Question

With the faster movement of the rotation of the earth at the higher altitude, the person on the ground floor would age faster than the one on the top. However, the difference would be insignificant.

However, since this is not my area of expertise, I searched Google under the key words "relativity time" to get these possible sources:

http://www.phys.unsw.edu.au/einsteinlight/
(Broken Link Removed)
http://www.time.com/time/time100/poc/magazine/a_brief_history_of_rela6a.html
http://www.ram.org/ramblings/science/time_is_relative.html

I hope this helps. Thanks for asking.