Applying to math PhD: how helpful is graduating with honors?

[Tinyboss]

I can graduate with honors, but only if I take a year of algebra instead of topology. I'm much more interested in topology, but algebra and analysis are the honors requirement.

I'm wondering, just how helpful is it to graduate with honors when applying to a math PhD program?

[rising_star]

If your grades in topology are good, I don't think it matters whether you graduate with honors. But then I'm not in math.

[Minnesotan]

It might also depend on the program. If algebra is essential to your discipline, then you might be better served taking those courses and getting the honors degree. If, on the other hand, topology is more appropriate for your field, then go with that.

[ukiitm]

I don't know how the U.S. college system works, but can't you take both?