Tag Archives: exotic sphere

The Poincare conjecture

The next few sections of Chapter 1 are intended to introduce some key examples of constructions with manifolds: The high-dimensional Poincar√© conjecture and the h-cobordism theorem Milnor’s exotic spheres Variation of Pontrjagin classes within a homotopy type In the version … Continue reading

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Manifold Sins and Wickedness

In the previous post I mentioned the two categories of manifolds with which we’re going to be mostly concerned: smooth manifolds, equipped with an atlas whose transition maps are \(C^\infty\), and topological manifolds (locally Euclidean spaces).¬† Smooth manifolds are, of … Continue reading

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