Abstract
A topological and a geometrical-topological property, previously known only for normed linear spaces, are established here for much more general classes of topological linear spaces.
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Corson, H. and Klee, V. 1963,Topological classification of convex sets, Proceedings of Symposia in Pure Math., vol. 7, Convexity, Amer. Math. Soc., Providence, R. I., pp. 37–51.
Klee, V. 1953,Convex bodies and periodic homeomorphisms in Hilbert space, Trans. Amer. Math. Soc.,74, 10–43.
Klee, V. 1956,A note on topological properties of normed linear spaces, Proc. Amer. Math. Soc.,7, 735–737.
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This research was conducted at the University of Washington in 1963 when the first author was visiting there. The work of both authors was supported in part by the National Science Foundation, U. S. A. (NSF-GP-378).
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Bessaga, C., Klee, V. Two topological properties of topological linear spaces. Israel J. Math. 2, 211–220 (1964). https://doi.org/10.1007/BF02759736
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DOI: https://doi.org/10.1007/BF02759736