friedhelm waldhausen- on irreducible 3-manifolds which are sufficiently large

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 1/34

Annals of Mathematics

On Irreducible 3-Manifolds Which are Sufficiently LargeAuthor(s): Friedhelm WaldhausenSource: The Annals of Mathematics, Second Series, Vol. 87, No. 1 (Jan., 1968), pp. 56-88Published by: Annals of MathematicsStable URL: http://www.jstor.org/stable/1970594 .

Accessed: 28/01/2011 12:28

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless

you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you

may use content in the JSTOR archive only for your personal, non-commercial use.

Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at .http://www.jstor.org/action/showPublisher?publisherCode=annals. .

Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed

page of such transmission.

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of 

content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms

of scholarship. For more information about JSTOR, please contact support@jstor.org.

 Annals of Mathematics is collaborating with JSTOR to digitize, preserve and extend access to The Annals of 

 Mathematics.

http://www.jstor.org

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 2/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 3/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 4/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 5/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 6/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 7/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 8/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 9/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 10/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 11/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 12/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 13/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 14/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 15/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 16/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 17/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 18/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 19/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 20/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 21/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 22/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 23/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 24/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 25/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 26/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 27/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 28/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 29/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 30/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 31/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 32/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 33/34

8/3/2019 Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

http://slidepdf.com/reader/full/friedhelm-waldhausen-on-irreducible-3-manifolds-which-are-sufficiently-large 34/34