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A remark on companionship and property P
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Zeitschriftentitel: | Proceedings of the American Mathematical Society |
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Personen und Körperschaften: | |
In: | Proceedings of the American Mathematical Society, 98, 1986, 1, S. 169-170 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
American Mathematical Society (AMS)
|
Schlagwörter: |
author_facet |
Scharlemann, Martin Scharlemann, Martin |
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author |
Scharlemann, Martin |
spellingShingle |
Scharlemann, Martin Proceedings of the American Mathematical Society A remark on companionship and property P Applied Mathematics General Mathematics |
author_sort |
scharlemann, martin |
spelling |
Scharlemann, Martin 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1986-0848897-8 <p>If some nontrivial Dehn surgery on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="gamma"> <mml:semantics> <mml:mi>γ<!-- γ --></mml:mi> <mml:annotation encoding="application/x-tex">\gamma</mml:annotation> </mml:semantics> </mml:math> </inline-formula> yields a homotopy <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="3"> <mml:semantics> <mml:mn>3</mml:mn> <mml:annotation encoding="application/x-tex">3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-sphere and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="kappa"> <mml:semantics> <mml:mi>κ<!-- κ --></mml:mi> <mml:annotation encoding="application/x-tex">\kappa</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a companion of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="gamma"> <mml:semantics> <mml:mi>γ<!-- γ --></mml:mi> <mml:annotation encoding="application/x-tex">\gamma</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, then some nontrivial Dehn surgery on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="kappa"> <mml:semantics> <mml:mi>κ<!-- κ --></mml:mi> <mml:annotation encoding="application/x-tex">\kappa</mml:annotation> </mml:semantics> </mml:math> </inline-formula> yields a homotopy <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="3"> <mml:semantics> <mml:mn>3</mml:mn> <mml:annotation encoding="application/x-tex">3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-sphere.</p> A remark on companionship and property P Proceedings of the American Mathematical Society |
doi_str_mv |
10.1090/s0002-9939-1986-0848897-8 |
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Online Free |
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Mathematik |
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ElectronicArticle |
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American Mathematical Society (AMS), 1986 |
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American Mathematical Society (AMS), 1986 |
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1986 |
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American Mathematical Society (AMS) |
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Proceedings of the American Mathematical Society |
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title |
A remark on companionship and property P |
title_unstemmed |
A remark on companionship and property P |
title_full |
A remark on companionship and property P |
title_fullStr |
A remark on companionship and property P |
title_full_unstemmed |
A remark on companionship and property P |
title_short |
A remark on companionship and property P |
title_sort |
a remark on companionship and property p |
topic |
Applied Mathematics General Mathematics |
url |
http://dx.doi.org/10.1090/s0002-9939-1986-0848897-8 |
publishDate |
1986 |
physical |
169-170 |
description |
<p>If some nontrivial Dehn surgery on <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="gamma">
<mml:semantics>
<mml:mi>γ<!-- γ --></mml:mi>
<mml:annotation encoding="application/x-tex">\gamma</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> yields a homotopy <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="3">
<mml:semantics>
<mml:mn>3</mml:mn>
<mml:annotation encoding="application/x-tex">3</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>-sphere and <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="kappa">
<mml:semantics>
<mml:mi>κ<!-- κ --></mml:mi>
<mml:annotation encoding="application/x-tex">\kappa</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> is a companion of <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="gamma">
<mml:semantics>
<mml:mi>γ<!-- γ --></mml:mi>
<mml:annotation encoding="application/x-tex">\gamma</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>, then some nontrivial Dehn surgery on <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="kappa">
<mml:semantics>
<mml:mi>κ<!-- κ --></mml:mi>
<mml:annotation encoding="application/x-tex">\kappa</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> yields a homotopy <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="3">
<mml:semantics>
<mml:mn>3</mml:mn>
<mml:annotation encoding="application/x-tex">3</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>-sphere.</p> |
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spelling | Scharlemann, Martin 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1986-0848897-8 <p>If some nontrivial Dehn surgery on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="gamma"> <mml:semantics> <mml:mi>γ<!-- γ --></mml:mi> <mml:annotation encoding="application/x-tex">\gamma</mml:annotation> </mml:semantics> </mml:math> </inline-formula> yields a homotopy <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="3"> <mml:semantics> <mml:mn>3</mml:mn> <mml:annotation encoding="application/x-tex">3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-sphere and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="kappa"> <mml:semantics> <mml:mi>κ<!-- κ --></mml:mi> <mml:annotation encoding="application/x-tex">\kappa</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a companion of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="gamma"> <mml:semantics> <mml:mi>γ<!-- γ --></mml:mi> <mml:annotation encoding="application/x-tex">\gamma</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, then some nontrivial Dehn surgery on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="kappa"> <mml:semantics> <mml:mi>κ<!-- κ --></mml:mi> <mml:annotation encoding="application/x-tex">\kappa</mml:annotation> </mml:semantics> </mml:math> </inline-formula> yields a homotopy <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="3"> <mml:semantics> <mml:mn>3</mml:mn> <mml:annotation encoding="application/x-tex">3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-sphere.</p> A remark on companionship and property P Proceedings of the American Mathematical Society |
spellingShingle | Scharlemann, Martin, Proceedings of the American Mathematical Society, A remark on companionship and property P, Applied Mathematics, General Mathematics |
title | A remark on companionship and property P |
title_full | A remark on companionship and property P |
title_fullStr | A remark on companionship and property P |
title_full_unstemmed | A remark on companionship and property P |
title_short | A remark on companionship and property P |
title_sort | a remark on companionship and property p |
title_unstemmed | A remark on companionship and property P |
topic | Applied Mathematics, General Mathematics |
url | http://dx.doi.org/10.1090/s0002-9939-1986-0848897-8 |