Mapping cylinder neighborhoods of one-complexes in four-space
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- by J. L. Bryant and R. C. Lacher PDF
- Trans. Amer. Math. Soc. 164 (1972), 333-339 Request permission
Abstract:
We prove the following theorem: If K is a 1-complex topologically embedded in ${S^4}$, and if K has mapping cylinder neighborhoods in ${S^4}$ at almost all of its points, then K is tame. The proof uses engulfing and the theory of proper, one-acyclic mappings of 3-manifolds onto the real line.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 164 (1972), 333-339
- MSC: Primary 57A35
- DOI: https://doi.org/10.1090/S0002-9947-1972-0293641-3
- MathSciNet review: 0293641