Hempel 3 manifolds pdf

Let a be a point, a 1sphere s1, a 2sphere s2, a projective plane p2,a2dimensional torus t2, or a 2dimensional klein bottle k2. The theme of this book is the role of the fundamental group in determining the topology of a given 3. A note on hempel mcmillan coverings of 3 manifolds. An open set c of m is acategorical if there exist maps. Let m be a 3manifold, and b a compact surface contained in. Combinatorial squashings, 3manifolds, and the third. Even though the field has grown tremendously, the book remains one of the best and most popular introductions to the subject. American mathematical society 201 charles street providence, rhode island 0290422 4014554000 or 8003214267.

Hempel 3 manifolds pdf posted on july 1, 2019 by admin a pleasant feature of 3 manifolds, in contrast to higher dimensions, is that there j hempel. Deforming threemanifolds with positive scalar curvature. In this paper we prove that the moduli space of metrics with positive scalar curvature of an orientable compact threemanifold is pathconnected. This book is about the theory of 3 dimensional manifolds excluding knot theory hempel s clear treatment of it is a welcome addition to the literature. Hempel 3 manifolds pdf a pleasant feature of 3 manifolds, in contrast to higher dimensions, is that there j hempel. Hempel proved that haken manifolds have residually finite fundamental groups.

High distance heegaard splittings of 3manifolds request pdf. With the geometrization conjecture, this now holds for any compact and orientable 3manifold. In these lecture notes we will give a quick introduction to 3manifolds, with a special. Ams, american mathematical society, the tricolored ams logo, and advancing research. A clear presentation of seven of thurstons eight possible geometric structures on 3 manifolds, all but hyperbolic geometry, the most subtle case by far. The proof of these, and many other theorems in 3manifold topology, depend on com. Hempel, 3manifolds, princeton university press 1976. Hempel, 3manifolds as viewed from the curve complex, topology 40 3 2001 631657 used the curve complex associated to the heegaard surface of a splitting of a 3manifold to.

Seifert fibered spaces, fibered 3manifolds and exteriors of knots and links, we will. Some 3manifold groups with the same finite quotients. For many years, john hempel s book has been a standard text on the topology of 3 manifolds. The theme of this book is the role of the fundamental group in determining the topology of a given 3 manifold. Princeton university press, university of tokyo press, 1976. Ja combinatorial interpretation of the third integral homology of a group.