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Reversible topological spaces

  • M. Rajagopalan (a1) and A. Wilansky (a1)
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We propose to study a topological property which is not new, but seems not to have been systematically investigated.

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COPYRIGHT: © Australian Mathematical Society 1966
References
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[1]Anderson, R. D., ‘Topological properties of the Hilbert cube and the infinite product of open intervals’, Theorem 9. To appear in the Transactions of the American Mathematical Society.
[2]Berri, M. P., ‘Minimal topological spaces’, Transactions of the American Mathematical Society 108 (1963), 97–105.
[3]Berri, M. P., ‘Categories of certain minimal topological spaces’, this Journal 4 (1964), 78–82.
[4]Bessaga, C. M. and Klee, V. L., ‘Every non-normable F space is homeomorphic with its closed convex bodies’, Mathematische Annalen (to appear).
[5]Gleason, A., ‘Projective topological spaces’, Illinois Journal of Mathematics 2 (1958), 482–489.
[6]Hewitt, E., ‘A class of topological spaces’, Bulletin of the American Mathematical Society 55 (1949), 421–426.
[7]Isawata, T., ‘On a completely regular space X and T(X)’, Science Reports Tokyo Daigaku, A. 5 (1956), 227–236 (MR 19, p. 1069).
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[9]Kelley, J. L., General topology (Van Nostrand).
[10]Kelley, J. L. and Namioka, I., Linear topological spaces (Van Nostrand).
[11]Levine, N., ‘Simple extensions of topologies’, American Mathematical Monthly 71 (1964), 22–25.
[12]Levine, N., ‘When are compact and closed equivalent’, American Mathematical Monthly 72 (1965), 41–44.
[13]Michael, E. A., Locally multiplicatively-convex topological algebras, Memoris of the American Mathematical Society 11 (1952).
[14]Scarborough, C. T. and Stone, A. H., Notices of the American Mathematical Society 11 (1964), p. 107, p. 130.
[15]Smythe, N. and Wilkins, C. A., ‘Minimal Hausdorff and maximal compact spaces’, this Journal 3 (1963), 167–171.
[16]Sierpinski, W., General Topology (University of Toronto, 1952).
[17]Sierpinski, W., ‘Sur une propriété topologique des ensembles denses en soi’, Fundamenta Mathematica, I (1920), 11–16.
[18]Wada, J., ‘One to one mappings on locally convex spaces’, Osaka Mathematical Journal 8 (1956), 19–22 (MR 18, p. 140).
[19]Weston, J. D., ‘On the comparison of topologies’, Journal of the London Mathematical Society 32 (1957), 342–354.
[20]Wilansky, A., Functional Analysis (Blaisdell, 1964).
[21]Lee, Yu-Lee, ‘Finer topologies with the same class of homeomorphisms’, Notices of the American Mathematical Society 12 (1965), p. 136.
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Journal of the Australian Mathematical Society
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