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, //web.sonoma.edu/math/