Extreme topological measures

• Autorzy: S. V. Butler
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
• 54F65: Topological characterizations of particular spaces
• 46E27: Spaces of measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 192
• Numer: 2
• Strony: 141-153

Daty

wydano

2006

Twórcy

autor

S. V. Butler

• Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, 1409 West Green Street, Urbana, IL 61801, U.S.A.

Identyfikatory

DOI

10.4064/fm192-2-4