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Local n-connectivity of quotient spaces and one-point compactifications

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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. A.D. Bousfield and D.M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer-Verlag, 1972.

    Google Scholar 

  2. T.A. Chapman, Lectures on Hilbert cube manifolds, Lectures on CMBS, N. 28.

    Google Scholar 

  3. A. Dold, Lectures on algebraic topology, Springer-Verlag, Berlin, 1972.

    Book  MATH  Google Scholar 

  4. J. Dydak, The Whitehead and Smale theorems in shape theory, Dissertationes Mathematicae 156 (1979), 1–51.

    MathSciNet  MATH  Google Scholar 

  5. J. Dydak, On unions of movable compacta, Bull. Ac. Pol. Sci. 26 (1976), 57–60.

    MathSciNet  MATH  Google Scholar 

  6. J. Dydak, On LCn-divisors, Topology Proceedings 3 (1978), 319–333.

    MathSciNet  Google Scholar 

  7. J. Dydak, On algebraic properties of continua, I and II, Bull. Ac. Pol. Sci. 27 (1979), 717–721 and 723–729.

    MathSciNet  MATH  Google Scholar 

  8. J. Dydak and J. Segal, Shape theory: An introduction, Lecture Notes in Math. 688, Springer-Verlag (1978), 1–150.

    Google Scholar 

  9. R. Engelking, General topology, Monografie Matematyczne 60, Polish Scientific Publishers, Warszawa, 1977.

    MATH  Google Scholar 

  10. R. Geoghegan, Open problems in infinite-dimensional topology, Topology Proc. 4 (1979), 287–338.

    MathSciNet  MATH  Google Scholar 

  11. S.T. Hu, Theory of retracts, Wayne State University Press, 1965.

    Google Scholar 

  12. D.M. Hyman, ANR-divisors and absolute neighborhood contractibility, Fund. Math. 62 (1968), 61–73.

    MathSciNet  MATH  Google Scholar 

  13. A. Kadlof, Remark on ANR-divisors, preprint.

    Google Scholar 

  14. A.H. Kruse and P.W. Liebnitz, An application of a family homotopy extension theorem to ANR-spaces, Pacific J. Math. 16 (1966), 331–336.

    Article  MathSciNet  MATH  Google Scholar 

  15. D.R. McMillan, Jr., One-dimensional shape properties and three-manifolds, in Studies in topology, Academic Press (1975), 367–381.

    Google Scholar 

  16. E. Spanier, Algebraic topology, McGraw Hill, New York, 1966.

    MATH  Google Scholar 

  17. J.E. West and R.Y.-T. Wong, Based-free actions of finite groups on Hilbert cubes with absolute retract orbit spaces are conjugate, Proceedings of the Georgia Geometric Topology Conference, Athens, Ga., 1977.

    Google Scholar 

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Sibe Mardešić Jack Segal

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© 1981 Springer-Verlag

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Dydak, J. (1981). Local n-connectivity of quotient spaces and one-point compactifications. 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/BFb0089707

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  • DOI: https://doi.org/10.1007/BFb0089707

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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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