A remark on companionship and property P

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Bibliographische Detailangaben
Zeitschriftentitel:	Proceedings of the American Mathematical Society
Personen und Körperschaften:	Scharlemann, Martin
In:	Proceedings of the American Mathematical Society, 98, 1986, 1, S. 169-170
Format:	E-Article
Sprache:	Englisch
veröffentlicht:	American Mathematical Society (AMS)
Schlagwörter:	Applied Mathematics General Mathematics

Details
Zusammenfassung:	<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>
Umfang:	169-170
ISSN:	0002-9939 1088-6826
DOI:	10.1090/s0002-9939-1986-0848897-8