Open mapping theorems for capacities
Volume 211 / 2011
Fundamenta Mathematicae 211 (2011), 1-13
MSC: 54C10, 28A12, 28A33.
DOI: 10.4064/fm211-1-1
Abstract
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.