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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm211-1-1, author = {Oleh Nykyforchyn and Michael Zarichnyi}, title = {Open mapping theorems for capacities}, journal = {Fundamenta Mathematicae}, volume = {215}, year = {2011}, pages = {1-13}, zbl = {1223.28003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm211-1-1} }
Oleh Nykyforchyn; Michael Zarichnyi. Open mapping theorems for capacities. Fundamenta Mathematicae, Tome 215 (2011) pp. 1-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm211-1-1/