Mersions of topological manifolds
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- by David Gauld PDF
- Trans. Amer. Math. Soc. 149 (1970), 539-560 Request permission
Abstract:
We here generalise the immersion and submersion theorems of Smale, Hirsch, Haefliger and Poenaru, Phillips, Lees, and Lashof, giving a relative version in the case of mersions of topological manifolds. A mersion is a map of manifolds ${M^m} \to {Q^q}$ which in the appropriate local coordinate systems has the form ${R^m} \to {R^q}$ of the standard inclusion or projection of one euclidean space in another. Such a mersion induces a map of tangent bundles satisfying certain properties. In this paper the problem of classifying mersions is reduced to that of classifying such bundle maps.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 149 (1970), 539-560
- MSC: Primary 57.01
- DOI: https://doi.org/10.1090/S0002-9947-1970-0266217-X
- MathSciNet review: 0266217