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Annals of Mathematics On Irreducible 3-Manifolds Which are Sufficiently La rge Author(s): Friedhelm Waldhausen Source: The Annals of Mathematics, Second Series, Vol. 87, No. 1 (Jan., 1968), pp. 56-88 Published by: Annals of Mathematics Stable 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 [email protected].  Annals of Mathematics is collaborating with JSTOR to digitize, preserve and extend access to The Annals of  Mathematics. http://www.jstor.org

Friedhelm Waldhausen- On Irreducible 3-Manifolds Which are Sufficiently Large

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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 [email protected].

 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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