Controlled boundary and $h$-cobordism theorems
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- by T. A. Chapman PDF
- Trans. Amer. Math. Soc. 280 (1983), 73-95 Request permission
Abstract:
In this paper two theorems are established which are consequences of some earlier approximation results of the author. The first theorem is a controlled boundary theorem for finite-dimensional manifolds. By this we mean an ordinary boundary theorem plus small $\varepsilon$-control in a given parameter space. The second theorem is a controlled $h$-cobordism theorem for finite-dimensional manifolds with small $\varepsilon$-control in a given parameter space. These results generalize the End Theorem and the Thin $h$-Corbordism of Quinn.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 280 (1983), 73-95
- MSC: Primary 57R80; Secondary 57Q10
- DOI: https://doi.org/10.1090/S0002-9947-1983-0712250-X
- MathSciNet review: 712250