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Embedding compacta up to shape

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Shape Theory and Geometric Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 870))

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References

  1. K. Borsuk, Theory of shape, Mathematical Monographs Vol. 59, Polish Scientific Publishers, Warsaw 1975.

    MATH  Google Scholar 

  2. T.A. Chapman, On some applications of finite-dimensional manifolds to the theory of shape, Fund. Math. 76 (1972), 181–193.

    MathSciNet  MATH  Google Scholar 

  3. M.L.Curtis, On 2-complexes in 4-spaces, Topology of 3-manifolds and related topics, Prentice Hall, 1962.

    Google Scholar 

  4. M.J. Dunwoody, The homotopy type of two-dimensional complex, Bull. London Math. Soc. 8 (1976), 282–285.

    Article  MathSciNet  MATH  Google Scholar 

  5. P.F.Duvall and L.S.Husch, A continuum of dimension n which does not embedd up to shape in 2n-space, to appear in the Proceedings of 1978 Warsaw Topology Conference.

    Google Scholar 

  6. P.F.Duvall and L.S.Husch, Embedding finite covers into bundles with an application to embedding manifold-like continua up to shape, preprint.

    Google Scholar 

  7. J. Dydak and J. Segal, Shape theory, An Introduction, Lecture Notes in Math. No 688, Springer-Verlag, Berlin-Heidelberg-New-York 1978.

    MATH  Google Scholar 

  8. D.A. Edwards and R. Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction, Ann. Math. 101(1975), 521–535. Correction to "Shapes ….", Ann. Math. 104(1976), 389.

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Ferry, A stable converse to the Vietoris-Smale theorem with applications to shape theory, Trans. Amer. Math. Soc. 261 (1980), 369–386.

    Article  MathSciNet  MATH  Google Scholar 

  10. A. Flores, Über die Existenz n-dimensionaler Komplexe die nicht in den R2n topologisch einbettbar sind, Ergebnisse eines Math. Kolloquium 5 (1932–33), 17–24.

    Google Scholar 

  11. J.F.P. Hudson, Piecewise linear topology, W.A.Benjamin, Inc., New York, 1969.

    MATH  Google Scholar 

  12. L.S. Husch and I. Ivanšić, Shape domination and embedding up to shape, Compositio Math. 40(1980), 153–166

    MathSciNet  MATH  Google Scholar 

  13. L.S.Husch and I.Ivanšić, Embeddings and concordances of embeddings up to shape, Preprint, University of Zagreb 1977.

    Google Scholar 

  14. W. Hurewicz and H. Wallman, Dimension Theory, Princeton University Press, Princeton 1948.

    MATH  Google Scholar 

  15. I. Ivanšić, Embedding compacta up to shape, Bull. Acad.Polon.Sci.Sér.Sci.Math. Astronom. Phys. 25(1977), 471–475.

    MathSciNet  MATH  Google Scholar 

  16. I. Ivanšić and R.B.Sher, A complement theorem for continua in a manifold, preprint.

    Google Scholar 

  17. A. Kadlof, An example resolving Borsuk's problem doncerning the index e(X), Bull.Acad.Polon.Sci.Sér.Sci.Math.Astronom.Phys. 26(1978), 905–907.

    MathSciNet  MATH  Google Scholar 

  18. J. Krasinkiewicz, Continuous images of continua and 1-movability, Fund.Math. 98(1978), 141–164.

    MathSciNet  MATH  Google Scholar 

  19. S. Mardešić, On the Whitehead theorem in shape theory I; II, Fund. Math. 91 (1976), 51–64; 93–103.

    MathSciNet  MATH  Google Scholar 

  20. J.W. Milnor, Characteristic classes, Princeton Univ.Press, Princeton 1974.

    Book  MATH  Google Scholar 

  21. S.Mardešić and J.Segal, Shape Theory, ANR System Approach, In preparation.

    Google Scholar 

  22. P. Peterson, Some non-embedding problems, Bol.Soc.Mat.Mexicana 2(1957), 9–15.

    MathSciNet  MATH  Google Scholar 

  23. J.Stallings, The embedding of homotopy types into manifolds, Mimeo notes, Princeton University 1965.

    Google Scholar 

  24. A. Trybulec, On shape of movable curves, Bull.Acad.Polon.Sci.Sér.Sci.Math. Astronom.Phys. 21(1973), 727–733.

    MathSciNet  MATH  Google Scholar 

  25. G.A.Venema, An approximation theorem in the shape category, preprint.

    Google Scholar 

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Sibe Mardešić Jack Segal

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© 1981 Springer-Verlag

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Husch, L.S., Ivanšić, I. (1981). Embedding compacta up to shape. In: Mardešić, S., Segal, J. (eds) Shape Theory and Geometric Topology. Lecture Notes in Mathematics, vol 870. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089712

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  • DOI: https://doi.org/10.1007/BFb0089712

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10846-7

  • Online ISBN: 978-3-540-38749-7

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