1
vote
1answer
35 views

Vector space structure on $(-1,1) \subset \mathbb{R}$ (or: möbius strip as vector bundle)

I'm first putting the question into it's context, so probably you can see if i'm asking the wrong question to get what i want. The Task is to show that the Möbius (Moebius) strip is a Vector bundle ...
2
votes
0answers
65 views

Which (endo)functors of the category of finite-dimensional real vector spaces induce continuous maps between Hom-sets?

Let $\operatorname{Vect-fin}$ be a category of finite-dimensional vector spaces over $\mathbb{R}$. In this category Hom-sets $\operatorname{Hom}(V,W)$ are themselves finite-dimensional vector spaces ...
0
votes
1answer
54 views

Equation system form to vector form

How can I convert the equation system form of the line to its corresponding vector form? I currently have: $x + y - z = 8$ $2x + 2y + z = 15$ I need the line description in a form of $(a_1, b_1, ...
5
votes
1answer
169 views

Pasting Together Fibers of a Vector Bundle

Everyone: Please forgive that I do not yet know LaTex, bro, and my English ( I am from UCV in Venezuela). I think I understand concept of bundles almost well, and that, once a vector bundle with a ...