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Pro-categories and shape theory

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Categorical Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 540))

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References

  1. K. Borsuk: Concerning the notion of the shape of compacta. Proc. Intern. Symp. on Topology and its Applications. (Herceg-Novi 1968), Belgrade 1969, pp. 98–104.

    Google Scholar 

  2. -: Concerning homotopy properties of compacta. Fund. Math. 62 (1968), 223–254.

    MathSciNet  MATH  Google Scholar 

  3. -: On movable compacta. Fund. Math. 66 (1969), 137–146.

    MathSciNet  MATH  Google Scholar 

  4. -: On homotopy properties of compact subsets of the Hilbert cube. Ann. Math. Studies 69 (1972), 25–36.

    MathSciNet  Google Scholar 

  5. J. Draper and J. Keesling: An example concerning the Whitehead theorem in shape theory. To appear in Fund. Math.

    Google Scholar 

  6. D. A. Edwards and R. Geoghegan: Infinite-dimensional Whitehead and Vietoris theorems in shape and pro-homotopy. To appear in Trans. Amer. Math. Soc.

    Google Scholar 

  7. R. H. Fox: On shape. Fund. Math. 74 (1972), 47–71.

    MathSciNet  MATH  Google Scholar 

  8. W. Holsztyński: An extension and axiomatic characterization of Borsuk's theory of shape. Fund. Math. 70 (1971), 157–168.

    MathSciNet  MATH  Google Scholar 

  9. J. H. Le Van: Shape theory. Thesis, Univ. of Kentucky, Lexington, Kentucky, 1973.

    Google Scholar 

  10. S. Mardešić: Shapes for topological spaces. General Topology Appl. 3 (1973), 265–282.

    Article  MathSciNet  MATH  Google Scholar 

  11. S. Mardešić: On the Whitehead theorem in shape theory I. To appear in Fund. Math.

    Google Scholar 

  12. S. Mardešić: On the Whitehead theorem in shape theory II. To appear in Fund. Math.

    Google Scholar 

  13. S. Mardešić and J. Segal: Movable compacta and ANR-systems. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18 (1970), 649–654.

    MathSciNet  MATH  Google Scholar 

  14. -: Shapes of compacta and ANR-systems. Fund. Math. 72 (1971), 41–59.

    MathSciNet  MATH  Google Scholar 

  15. -: Equivalence of the Borsuk and the ANR-system approach to shapes. Fund. Math. 72 (1971), 61–68.

    MathSciNet  MATH  Google Scholar 

  16. K. Morita: On shapes of topological spaces. Fund. Math. 86 (1975), 251–259.

    MathSciNet  MATH  Google Scholar 

  17. -: The Hurewicz and the Whitehead theorems in shape theory. Sc. Rep. Tokyo Kyoiku Daigaku, Sect. A 12 (1974), 246–258.

    MathSciNet  MATH  Google Scholar 

  18. M. Moszyńska: The Whitehead theorem in the theory of shapes. Fund. Math. 80 (1973), 221–263.

    MathSciNet  MATH  Google Scholar 

  19. C. Weber: La forme d'un espace topologique est une complétion. C. R. Acad. Sci. Paris, Sér. A-B 277 (1973), A 7–A 9.

    MATH  Google Scholar 

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Authors

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Ernst Binz Horst Herrlich

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© 1976 Springer-Verlag

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Mardešić, S. (1976). Pro-categories and shape theory. In: Binz, E., Herrlich, H. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080868

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  • DOI: https://doi.org/10.1007/BFb0080868

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07859-3

  • Online ISBN: 978-3-540-38118-1

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