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Recovering a space from its banach sheaves

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Part of the Lecture Notes in Mathematics book series (LNM,volume 719)

Keywords

  • Banach Space
  • Banach Algebra
  • Identity Functor
  • Maximal Ideal Space
  • Commutative Banach Algebra

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References

  1. N. Auspitz, Doctoral dissertation, University of Waterloo, Spring 1975.

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  2. B. Banaschewski, Sheaves of Banach spaces. Quaest. Math. 2 (1977), 1–22.

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  3. —, Injective Banach sheaves (to appear).

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  4. H. Herrlich and G.E. Strecker, Category Theory, Allyn and Bacon, Boston 1973.

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  5. K.H. Hofmann, Sheaves and bundles of Banach spaces are equivalent. Lecture Notes in Mathematics 575 (1977), 53–69.

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  6. — and K. Keimel, Sheaf Theoretical concepts in analysis: Bundles and sheaves of Banach spaces, Banach C(X) — modules (to appear).

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  7. D.J. Howe, Abelian group theory in a topos. Doctoral dissertation, University of Pennsylvania, 1977.

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  8. B. Mitchell, Theory of Categories. Academic Press, New York and London, 1965.

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  9. C.J. Mulvey, Private communication, November 10, 1976.

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  10. —, Banach sheaves (to appear).

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  11. O. Zariski and P. Samuel, Commutative Algebra I. Van Nostrand, Princeton, N.J., 1958.

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© 1979 Springer-Verlag

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Banaschewski, B. (1979). Recovering a space from its banach sheaves. In: Herrlich, H., Preuß, G. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065252

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  • DOI: https://doi.org/10.1007/BFb0065252

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09503-3

  • Online ISBN: 978-3-540-35193-1

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