# 3-Manifolds

Publisher:
American Mathematical Society Chelsea
Number of Pages:
195
Price:
0.00
ISBN:
0-8218-3695-1
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.
Monday, November 1, 2004
Reviewable:
Yes
Include In BLL Rating:
No
John Hempel
Publication Date:
2004
Format:
Hardcover
Category:
General
Fernando Q. Gouvêa
12/1/2004
* 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
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Saturday, August 27, 2005