Open mapping theorems for capacities

• Autorzy: Oleh Nykyforchyn , Michael Zarichnyi
• Języki publikacji: EN

Abstrakty

EN

For the functor of upper semicontinuous capacities in the category of compact Hausdorff spaces and two of its subfunctors, we prove open mapping theorems. These are counterparts of the open mapping theorem for the probability measure functor proved by Ditor and Eifler.

Kategorie tematyczne

• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 28A12: Contents, measures, outer measures, capacities
• 28A33: Spaces of measures, convergence of measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 211
• Numer: 1
• Strony: 1-13

Daty

wydano

2011

Twórcy

autor

Oleh Nykyforchyn

• Precarpathian National University, 57 Shevchenka St., 76025 Ivano-Frankivsk, Ukraine

autor

Michael Zarichnyi

• Department of Mechanics and Mathematics, Lviv National University, 1 Universytetska St., 79000 Lviv, Ukraine
• Institute of Mathematics, University of Rzeszów, Rzeszów, Poland

Identyfikatory

DOI

10.4064/fm211-1-1