Counting Klein Bottles by Prof. Haydee LIndo, Williams College
Friday, September 22 at 1:00pm to 1:45pm
Stetson Court classroom, 101 Stetson Court, Williamstown, MA, 01267
Mathematics Faculty Seminar
Abstract: 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 3-dimensions by tracking the effects of immersions on tangent spaces.
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