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On resolutions of LCn-compacta

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Geometric Topology and Shape Theory

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References

  1. R.D.Edwards: The topology of manifolds and cell-like maps, in Proc. of the International Congress of Mathematicians, Helsinki 1978, Acad.Sci.Fennica, 1980, p.p. 111–127.

    Google Scholar 

  2. F. Quinn: Resolutions of homology manifolds and the topological characterization of manifolds, Invent.Math. 72 (1983), 267–284.

    Article  MathSciNet  MATH  Google Scholar 

  3. A.N. Dranishnikov: Absolute extensors in dimension n and n-soft mappings that raise dimension (Russian), Uspehi Mat.Nauk 39 No.5, 55–95

    Google Scholar 

  4. M. Bestvina: Characterization of k-dimensional universal Menger compacta, Ph.D.Thesis, University of Tennessee, Knoxville, 1984.

    MATH  Google Scholar 

  5. A.N. Dranishnikov: Covariant functors and extensors in dimension n (Russian), Uspehi Mat. Nauk, 40,No.6 (1985), 185–186.

    MathSciNet  Google Scholar 

  6. A.N. Dranishnikov: Universal Menger compacta and universal mapping (Russian), Mat. Sbornik 129,No. 1, (1986), 121–139.

    MathSciNet  Google Scholar 

  7. A.V. Chernavskii: Generalization of L.V.Keldysh's construction of monotone mappings of the cube onto a higher dimensional cube (Russian), Uspehi Mat.Nauk 40, No.4 (1985), 209–211.

    MathSciNet  Google Scholar 

  8. J.W. Cannon: Shrinking cell-like decompositions of manifolds of codimension three, Ann.Math. 110, (1979), 83–112.

    Article  MathSciNet  MATH  Google Scholar 

  9. V.A. Rokhlin, D.B. Fuks: A first course in topology (Russian), Nauka, Moscow, 1977.

    MATH  Google Scholar 

  10. T.A. Chapman: Lectures on Hilbert cube manifolds, AMS, Providence, Rhode Island, 1976.

    Book  MATH  Google Scholar 

  11. H.G. Bothe: Eine Einbettung m-dimensionaler Mengen in einen m+1-dimensionalen absoluten Retrakt, Fund.Math. 52 (1963), 209–224.

    MathSciNet  MATH  Google Scholar 

  12. M.A. Stanko: Solution of Menger's problem in the class of compacta, Soviet Math. Dokl. 12 (1971), 1846–1849.

    MathSciNet  MATH  Google Scholar 

  13. F. Quinn: Ends of maps, Ann.Math. 110, No.2. (1979), 275–330.

    Article  MathSciNet  MATH  Google Scholar 

  14. J. Dydak: On LCn-divisors, Topology Proceedings, 3 (1978), 319–332.

    MathSciNet  Google Scholar 

  15. D.S. Coram, P.F. Duvall: Local n-connectivity and approximate lifting, Topology and its Appl. 13, (1982), 225–228.

    Article  MathSciNet  MATH  Google Scholar 

  16. W. Hurewicz: Homotopie, Homologie und lokaler Zusammenhang, Fund.Math. 25, (1935), 467–485.

    MATH  Google Scholar 

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Authors

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Sibe Mardešić Jack Segal

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© 1987 Springer-Verlag

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Dranishnikov, A.N. (1987). On resolutions of LCn-compacta. In: Mardešić, S., Segal, J. (eds) Geometric Topology and Shape Theory. Lecture Notes in Mathematics, vol 1283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081418

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  • DOI: https://doi.org/10.1007/BFb0081418

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18443-0

  • Online ISBN: 978-3-540-47975-8

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