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On an extension of Pontryagin's duality theory

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References

  1. E. Binz "Continuous Convergence on C(X)". Lecture Notes in Mathematics, Vol.469,1975, Springer-Verlag, Berlin, Heidelberg, New York.

    MATH  Google Scholar 

  2. E. Binz "Charaktergruppen von Gruppen von S1-wertigen stetigen Funktionen", in Categorical Topology, Lecture Notes in Mathematics, Vol.540,1975, 43–92, Springer-Verlag, Berlin, Heidelberg, N.Y.

    Chapter  Google Scholar 

  3. E. Binz and H.H. Keller "Funktionenräume in der Kategorie der Limesräume". Ann.Acad.Sci.Fenn.Ser.A I, 383, 1966, 1–21.

    MathSciNet  MATH  Google Scholar 

  4. E. Binz, H.P. Butzmann, K. Kutzler "Über den c-Dual eines topologischen Vektorraumes". Math.Z., 127,1972,70–74.

    Article  MathSciNet  MATH  Google Scholar 

  5. H.P.Butzmann "Pontryagin Dualität für topologische Vektorräume" (to appear in Arch.Math.)

    Google Scholar 

  6. A. Freundlich-Smith "The Pontryagin Duality Theorem in Linear Spaces", Ann.Math., Vol.56,1952,248–253.

    Article  Google Scholar 

  7. M. Golubitsky, V. Guillemin "Stable Mappings and their Singularities, Graduate Texts in Mathematics, Vol.14,1973, Springer-Verlag, New York, Berlin, Heidelberg.

    MATH  Google Scholar 

  8. S.T. Hu "Homotopy Theory",1959,Academic Press, New York, London.

    MATH  Google Scholar 

  9. H. Jarchow "Duale Charakterisierung der Schwartz-Räume", Math.Ann,196,1972,85–90.

    Article  MathSciNet  MATH  Google Scholar 

  10. H.H. Keller "Räume stetiger multilinearer Abbildungen als Limesräume",Math.Ann..Vol.159,1965,259–270.

    Article  MathSciNet  MATH  Google Scholar 

  11. R.S. Palais "Foundations of Global Non-Linear Analysis", 1968, W.A.Benjamin, Inc., New York,Amsterdam.

    MATH  Google Scholar 

  12. L.S. Pontryagin "Topological Groups" (2nd Edition), 1966, Gordon and Breach Science Pub.Inc., New York, London, Paris.

    MATH  Google Scholar 

  13. H.H. Schaefer "Topological Vector Spaces". Graduate Texts in Mathematics, Vol. 3, 1970, Springer-Verlag, New York, Berlin, Heidelberg.

    MATH  Google Scholar 

  14. E.H. Spanier "Algebraic Topology", 1966, Mc Graw-Hill Book Company, New York,London.

    MATH  Google Scholar 

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Josef Novák

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© 1977 Springer-Verlag

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Binz, E. (1977). On an extension of Pontryagin's duality theory. In: Novák, J. (eds) General Topology and Its Relations to Modern Analysis and Algebra IV. Lecture Notes in Mathematics, vol 609. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068668

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  • DOI: https://doi.org/10.1007/BFb0068668

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08437-2

  • Online ISBN: 978-3-540-37108-3

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