Best Course to Take

[Bbq7]

Hello,

Unfortunately my school doesn't offer a second semester of real analysis, so I was wondering what course would best make up for it in the eyes of PhD admission committees. I can take undergraduate topology or complex analysis or a first semester graduate course of abstract algebra. I'm thinking abstract algebra might be best as it shows I can handle graduate level math, but I do know it has little application to statistics. 

[bayessays]

None of those are particularly applicable to statistics (in a broad sense), so all they will do is prove you can do math. So take the one you will enjoy and that you'll get an A in. 

[Fred210]

What does the topology course cover exactly? Sometimes real analysis courses are disguised as topology courses. If it covers metric spaces then it will be useful for graduate level theoretical statistics.