June 2019 S M T W T F S « Dec 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 John Roe’s Main Page

Recent Posts
Meta
Categories
RSS
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 highdimensional Poincaré conjecture and the hcobordism theorem Milnor’s exotic spheres Variation of Pontrjagin classes within a homotopy type In the version … Continue reading
Posted in Discussion, math
Tagged cobordism, exotic sphere, Poincare conjecture, Poincare duality
Leave a comment
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