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

 

Pseudo-isotopies of irreducible $ 3$-manifolds


Author: Jeff Kiralis
Journal: Trans. Amer. Math. Soc. 332 (1992), 53-78
MSC: Primary 57M99; Secondary 57N10, 57N37
MathSciNet review: 1140917
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Abstract: It is shown that a certain subspace of the space of all pseudo-isotopies of any irreducible $ 3$-manifold is connected. This subspace consists of those pseudo-isotopies corresponding to $ 1$-parameter families of functions which have nondegenerate critical points of index $ 1$ and $ 2$ only and which contain no slides among the $ 2$-handles.

Some of the techniques developed are used to prove a weak four-dimensional $ h$-cobordism theorem.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1992-1140917-6
PII: S 0002-9947(1992)1140917-6
Article copyright: © Copyright 1992 American Mathematical Society