Real Projective Space — Topic Summaries
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Manifolds 17 | Examples of Smooth Maps
Smooth maps between manifolds can be checked chart-by-chart by translating the problem into ordinary maps between Euclidean spaces. Using that...
Manifolds 11 | Projective Space is a Manifold [dark version]
Real projective space P^n\mathbb{R} is shown to be a well-defined n-dimensional manifold by building an explicit atlas from the sphere S^n and the...
Manifolds 17 | Examples of Smooth Maps [dark version]
Smooth maps between manifolds can be checked by reducing the problem to ordinary differentiability between Euclidean spaces using charts. With that...