Speaker: Haydee Lindo, Harvey Mudd College
A Klein Bottle cannot be embedded in 3-dimensional space. So if you've ever seen a glass "Klein Bottle" in real life you can imagine it as the image of a continuous map from an actual Klein Bottle into 3-space. Are there other ways to map the Klein Bottle into real space? Do they look different? Are they actually different? In this talk, we'll discuss how many "different” ways a 2-dimensional compact space can be mapped into three dimensions by tracking the effects of immersions on tangent spaces.
For more information, http://web.sonoma.edu/math/