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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Mathematics & Statistics

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