Extreme topological measures
Fundamenta Mathematicae, Tome 192 (2006) no. 2, pp. 141-153.

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It has been an open question since 1997 whether, and under what assumptions on the underlying space, extreme topological measures are dense in the set of all topological measures on the space. The present paper answers this question. The main result implies that extreme topological measures are dense on a variety of spaces, including spheres, balls and projective planes.
DOI : 10.4064/fm192-2-4
Keywords: has question since whether under what assumptions underlying space extreme topological measures dense set topological measures space present paper answers question main result implies extreme topological measures dense variety spaces including spheres balls projective planes

S. V. Butler 1

1 Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall, 1409 West Green Street Urbana, IL 61801, U.S.A.
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S. V. Butler. Extreme topological measures. Fundamenta Mathematicae, Tome 192 (2006) no. 2, pp. 141-153. doi : 10.4064/fm192-2-4. http://geodesic.mathdoc.fr/articles/10.4064/fm192-2-4/

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