Recent content by SetTheory

Okay, got it. So a few practical exit plans encase things don't turn out how I plan, especially with the competitive careers. A few of my study partners in the math classes I took told me the value of a math degree in getting computer or programming jobs. I'm not sure if that's what interests...

Yes, I am too young and inexperienced to truly know where I can see myself in terms of career yet. I was hoping just for some personal experience and insight, thank you :) In agreement with you, I feel as if abstract math is a bit too disjoint from reality (for me)as well. That's one of the...

Hello, I've just been accepted and will begin as an undergraduate in physics this fall. I'm planning on taking classes, in addition to the required courses, concentrated in particle physics, QM, field theory, etc. Also, I took courses on Set Theory and Topology, and fell in love with what I...

Okay, thank you! I am excited to fill out this proof now

Okay, yes it definitely makes sense why Y is not Hausdorff, because you cannot separate {a} from 0. One more question, I promise. It is to my understanding I can prove Y is T_1 by proving that each element of Y, the partition, is closed in R_K. I am inexperienced in proofwork, could you give me...

Thanks for the reply, Then does this mean that p is mapping all other points in R_K to themselves in Y? I suppose that must follow from the def. of quotient map. I guess I am confused about the purpose of collapsing K, if this hadn't been done would Y be Hausdorff?

This is how the problem appears in my book(Munkres 2nd edition Topology, sect. 22 pg 145) 6. Recall that R_K denotes the real line in the K-topology. Let Y be the quotient space obtained from R_K by collapsing the set K to a point; let p : R_K → Y be the quotient map. (a) Show that Y...

Okay, thanks for the added insight. All I knew for certain was that there was sure to be less women in more advanced math classes than men, not necessarily that they weren't treated as well. I'm a bit curious as to why this is? Anyway, I've not actually met much opposition from guys my own age...

Hello, I'm not sure if there's a post for this already, but I'm in high school and I would like to go into the physics (or mathematics) field. I am especially interested in particle physics at the moment. My mother has her masters in math, and she's told me some tales about her experiences...