A relative Nash theorem
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- by Selman Akbulut and Henry C. King PDF
- Trans. Amer. Math. Soc. 267 (1981), 465-481 Request permission
Abstract:
We prove that if $M$ is a closed smooth manifold and ${M_i}$, $i = 1, \ldots ,k$, are transversally intersecting closed smooth submanifolds of $M$, then there exist a nonsingular algebraic set $Z$ and nonsingular algebraic subsets ${Z_i}$, $i = 1, \ldots ,k$, of $Z$ such that $(M;{M_1}, \ldots ,{M_k})$ is diffeomorphic to $(Z;{Z_1}, \ldots ,{Z_k})$. We discuss a generalization and the consequences of this result.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 267 (1981), 465-481
- MSC: Primary 58A07; Secondary 14G30, 57R99
- DOI: https://doi.org/10.1090/S0002-9947-1981-0626484-4
- MathSciNet review: 626484