The homology of spaces of simple topological measures

• Autorzy: Ø. Johansen , A. B. Rustad
• Języki publikacji: EN

Abstrakty

EN

The simple topological measures X* on a q-space X are shown to be a superextension of X. Properties inherited from superextensions to topological measures are presented. The homology groups of various subsets of X* are calculated. For a q-space X, X* is shown to be a q-space. The homology of X* when X is the annulus is calculated. The homology of X* when X is a more general genus one space is investigated. In particular, X* for the torus is shown to have a retract homeomorphic to an infinite product of circles.

Kategorie tematyczne

• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)
• 28Cxx: Set functions and measures on spaces with additional structure

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 177
• Numer: 1
• Strony: 19-43

Daty

wydano

2003

Twórcy

autor

Ø. Johansen

• Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

autor

A. B. Rustad

• Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

Identyfikatory

DOI

10.4064/fm177-1-2