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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Decompositions of $ 3$-manifolds and pseudo-isotopies


Author: William Voxman
Journal: Trans. Amer. Math. Soc. 164 (1972), 503-508
MSC: Primary 57A10
MathSciNet review: 0293608
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Abstract: In this paper we construct pseudo-isotopies which realize certain cellular decompositions of 3-manifolds. In general we show that the pseudo-isotopy may be defined so as to leave points fixed outside of a given open set containing the nondegenerate elements of the decomposition. For nondegenerately continuous decompositions it is shown that the pseudo-isotopy does not move the nondegenerate elements far from their original positions.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0293608-5
PII: S 0002-9947(1972)0293608-5
Keywords: Cellular decomposition, 3-manifold, pseudo-isotopy, nondegenerately continuous decomposition
Article copyright: © Copyright 1972 American Mathematical Society