On the construction of split-face topologies
HTML articles powered by AMS MathViewer
- by Alan Gleit PDF
- Trans. Amer. Math. Soc. 194 (1974), 291-299 Request permission
Abstract:
We give a general theorem to facilitate the construction of interesting examples of split-face topologies of compact, convex sets.References
- Erik M. Alfsen, Compact convex sets and boundary integrals, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 57, Springer-Verlag, New York-Heidelberg, 1971. MR 0445271, DOI 10.1007/978-3-642-65009-3 N. Bourbaki, General topology. Part 1, Addison-Wesley, Reading, Mass., 1966. MR 34 #5044b. —, Eléments de mathématique. Fasc. XXI. Livre V: Intégration, 2ieme ed., Actualities Sci. Indust., no. 1244, Hermann, Paris, 1967. MR 35 #322.
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
- Alan Gleit, On the existence of simplex spaces, Israel J. Math. 9 (1971), 199–209. MR 279571, DOI 10.1007/BF02771585
- Alan Gleit, Topologies on the extreme points of compact convex sets, Math. Scand. 31 (1972), 209–219. MR 324375, DOI 10.7146/math.scand.a-11426
- Robert R. Phelps, Lectures on Choquet’s theorem, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1966. MR 0193470
- Marc Rogalski, Caracterisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extrémaux, Math. Scand. 28 (1971), 159–181 (French). MR 306856, DOI 10.7146/math.scand.a-11013
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 194 (1974), 291-299
- MSC: Primary 46A99
- DOI: https://doi.org/10.1090/S0002-9947-1974-0405063-4
- MathSciNet review: 0405063