Notes on Basic 3-Manifold Topology

Sometime in the 1980's I started writing a book on 3-manifolds, but got sidetracked on the algebraic topology books described elsewhere on this website. The little that exists of the 3-manifolds book (see below for a table of contents) is rather crude and unpolished, and doesn't cover a lot of material, but it does contain a few things that aren't readily available elsewhere, like the elementary form of the Jaco-Shalen/Johannson torus decomposition theorem. So it seemed worthwhile to make this available electronically. However the reader should bear in mind that these pages are really just an early draft of the initial chapters of a real book on 3-manifolds, which I hope someday to write.

The first installment, about 60 pages, is available in several options:

The doublepage versions have two pages side-by-side, reduced in size to fit onto a single sheet of paper.

The version here, first posted in September 2000, is a slight revision of a previously posted version, with the chapters rearranged into a different order and with a few improvements to the exposition.


Chapter 1. Canonical Decomposition

1. Prime Decomposition.
2. Torus Decomposition.

Chapter 2. Special Classes of 3-Manifolds

1. Seifert Manifolds.
2. Torus Bundles and Semi-Bundles.

Chapter 3. Homotopy Properties

1. The Loop and Sphere Theorems.