Further Reading
- Michael Farber has a nice book, Invitation to Topological Robotics (American Mathematical Society, 2008), that carefully explores the aspects of topology relevant to engineering problems in robotics.
- Since the early days of the Internet, I have maintained a table of known immersion and embedding results for real projective spaces. It can be found at www.lehigh.edu/~dmd1/imms.html.
- An interactive illustration of Boy's surface can be found at http://demonstrations.wolfram.com/
- BoySurfaceAndVariations.
- Regarding the two theorems, the first is from my article “Some New Immersions and Nonimmersions of Real Projective Spaces,” AMS Contemporary Mathematics 19 (1983): 51–64.
- The second is from another article of mine, “A Strong Nonimmersion Theorem for Real Projective Spaces,” Annals of Mathematics 120 (1984): 517–528.