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On the openness of the barycentre map. (English) Zbl 0321.46004


MSC:

46A03 General theory of locally convex spaces
52A05 Convex sets without dimension restrictions (aspects of convex geometry)
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References:

[1] Alfsen, E. M.: Compact convex sets and boundary integrals. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0209.42601
[2] Choquet, G.: Lectures on analysis. Edited by J. Marsden, T. Lance, and S. Gelbart. New York: Benjamin 1969 · Zbl 0181.39602
[3] Lima, A.: On continuous convex functions and split faces. Proc. London Math. Soc.25, 27-40 (1972) · Zbl 0236.46024
[4] Phelps, R. R.: Lectures on Choquet’s Theorem. New York: Van Nostrand 1966 · Zbl 0135.36203
[5] Vesterstrøm, J.: On open maps, compact sets, and operator algebras. J. London Math. Soc.6, 289-297 (1973) · Zbl 0252.46061
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