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TOPO 72 — General Topology and its Applications pp 132–139Cite as

Coincidence of small and large inductive dimension

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 378))

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References

  1. McAuley, Louis F., "Conditions for the equality of the inductive dimensions", Portugaliae Mathematica 24, Fasc. 1, 21–30 (1965).

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  2. Fitzpatrick, B., Jr., and Ford, R. M., "On the equivalence of small and large inductive dimension in certain metric spaces", Duke Math. J. 34, 33–38 (1967).

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  3. Katuta, Y., "A note on the inductive dimension of product spaces", Proc. Japan Acad. 42, 1011–1015 (1966).

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  4. Morita, K., "On the dimension of normal spaces II", J. Math. Soc. Japan 2, 16–33 (1950).

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  5. Nagami, K., "A note on the large inductive dimension of totally normal spaces", J. Math. Soc. Japan 21, 282–290 (1969).

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  6. Nagata, J., Modern General Topology, Bibliotheca Math. 7, 1968.

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  7. Nagata, J., "A survey of dimension theory II", Gen. Top. and its Appls. 1, 65–67 (1971).

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Author information

Authors and Affiliations

  1. David Lipscomb College, 37203, Nashville, Tennessee

    James Austin French

Authors
  1. James Austin French
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Richard A. Alò Robert W. Heath Jun-iti Nagata

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© 1974 Springer-Verlag

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French, J.A. (1974). Coincidence of small and large inductive dimension. In: Alò, R.A., Heath, R.W., Nagata, Ji. (eds) TOPO 72 — General Topology and its Applications. Lecture Notes in Mathematics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068466

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  • DOI: https://doi.org/10.1007/BFb0068466

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06741-2

  • Online ISBN: 978-3-540-38323-9

  • eBook Packages: Springer Book Archive

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