8
votes
0answers
123 views

Who first discovered that the torus supports a flat structure?

Who first recognized that there exists a homogenous metric on the closed genus 1 orientable surface?
9
votes
0answers
215 views

Who was Hermann Künneth?

Question as in the title: Who was Hermann Künneth? Where can I find some biographical information beyond what is available on Wikipedia? The well-known Künneth formula, for example in the form of ...
5
votes
1answer
197 views

Historical Development of CW Complexes

I recently started learning about CW complexes. Although my understanding of them is somewhat nascent, I see that one can deduce a number of useful properties of a space if one can show it is a CW ...
4
votes
1answer
229 views

Poincare conjecture for n=2

Wolfram states "The n=1 case of the generalized conjecture is trivial, the n=2 case is classical (and was known to 19th century mathematicians)" How is it proved that every simply connected closed ...
7
votes
3answers
185 views

The Hopfian property for groups

Let $G$ be a group, which for my purposes would be abelian. To say that $G$ has the Hopf property is to say that every epimorphism of $G$ is an automorphism. Does anyone happen to recall the context ...
8
votes
2answers
228 views

Etymology of the name “deck transformation”

What does the word "deck" mean in "deck transformation"? What's the idea behind this name?