# 3-Manifolds

###### John Hempel
Publisher:
American Mathematical Society Chelsea
Publication Date:
2004
Number of Pages:
195
Format:
Hardcover
Price:
0.00
ISBN:
0-8218-3695-1
Category:
General
[Reviewed by
Fernando Q. Gouvêa
, on
12/1/2004
]
This is an AMS/Chelsea reprint of a book that first appeared in the Annals of Mathematics Studies series in 1976. The Telegraphic Review published in 1976 described it as "A survey of results on the classification of 3-manifolds. Includes connections with group theory, a chapter on the Poincaré Conjecture, and a chapter on open problems. A possible second graduate course in topology, if the first includes algebraic topology." According to the author's preface to this edition, updates will be posted at http://www.ams.org/bookpages/chel-349 -- but as of this writing nothing is posted at that URL.
* Preliminaries
* Heegaard splittings
* Connected sums
* The loop and sphere theorems
* Free groups
* Incompressible surfaces
* Kneser's conjecture on free products
* Finitely generated subgroups
* More on connected sums; Finite and abelian subgroups
* I-bundles
* Group extensions and fibrations
* Seifert fibered spaces
* Classification of $P^2$-irreducible, sufficiently large 3-manifolds
* Some approaches to the Poincarâ€š conjecture
* Open problems
* References
* Index
* Symbols and notation