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Vertical general position

Part of the Lecture Notes in Mathematics book series (LNM,volume 438)

Keywords

  • General Position
  • Open Cover
  • Vertical Segment
  • Decomposition Space
  • Finite Collection

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References

  1. R. H. Bing, Stable homeomorphisms on E 5 can be approximated by piecewise linear ones, Abstract 607-16, Notices of the Amer. Math. Soc., 10, 1963, 666.

    Google Scholar 

  2. _____, Radial engulfing, Conference on Topology of Manifolds, 1967 (John G. Hocking, ed.), 1–18, Prindle, Weber, and Schmidt, Boston, 1968.

    Google Scholar 

  3. A. V. Cernavskii, Isotopy of elements and spheres in n-dimensional space for k<2/3 n−1, Dokl. Akad. Nauk. SSSR, 1958 (1964), 62–65, Soviet. Math. Dokl., 5 (1964), 1194–97.

    MathSciNet  Google Scholar 

  4. E. H. Connell, Approximating stable homeomorphisms with piecewise linear ones, Ann. of Math., 78 (1963), 326–338.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Fred D. Crary, Some new engulfing theorems, Thesis, University of Wisconsin-Madison, 1973.

    Google Scholar 

  6. R. D. Edwards and L. C. Glaser, A method for shrinking decompositions of certain manifolds, Trans. Amer. Math. Soc. 165 (1972), 45–56.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Robion C. Kirby, Stable homeomorphisms and the annulus conjecture, Ann. of Math., (2) vol. 89 (1969), 575–582.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. K. P. Millett, Homotopy groups of automorphism spaces, Geometrical Topology, The Proceedings of the 1974 Park City Conference, (L. C. Glaser and T. B. Rushing, ed.), Notes in Mathematics Series, Springer Verlag.

    Google Scholar 

  9. T. Benny Rushing, Infinite engulfing, (Mimeographed notes), 1972. [See a. Remark 4.14.3 of "Topological Embeddings", Academic Press, 1973; b. A summation of results on infinite engulfing, Proc. Univ. of Oklahoma Topology Conference, 1972; and c. Zentralblatt 246 Abstract 57007.]

    Google Scholar 

  10. C. L. Seebeck III, Collaring an (n−1)-manifold in an n-manifold, Trans. Amer. Math. Soc., 148 (1970), 63–68.

    MathSciNet  MATH  Google Scholar 

  11. J. R. Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481–488.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. Perrin Wright, A uniform generalized Schoenflies theorem, Ann. of Math. 89 (1969), 292–304.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. _____, Radial engulfing in codimension three, Duke Math. J., 39 (1971), 295–298.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. E. C. Zeeman, Seminar on Combinatorial Topology, Institut des Hautes Etudes Scientifiques, 1963, Lemma 38.

    Google Scholar 

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© 1975 Springer-Verlag

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Bing, R.H. (1975). Vertical general position. In: Glaser, L.C., Rushing, T.B. (eds) Geometric Topology. Lecture Notes in Mathematics, vol 438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066105

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  • DOI: https://doi.org/10.1007/BFb0066105

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07137-2

  • Online ISBN: 978-3-540-37412-1

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