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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.
Oleh Nykyforchyn, and Michael Zarichnyi. "Open mapping theorems for capacities." Fundamenta Mathematicae 211.1 (2011): 1-13. <http://eudml.org/doc/282943>.
@article{OlehNykyforchyn2011, 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.}, author = {Oleh Nykyforchyn, Michael Zarichnyi}, journal = {Fundamenta Mathematicae}, keywords = {capacity; open mapping theorem; Milyutin map; capacity functor}, language = {eng}, number = {1}, pages = {1-13}, title = {Open mapping theorems for capacities}, url = {http://eudml.org/doc/282943}, volume = {211}, year = {2011}, }
TY - JOUR AU - Oleh Nykyforchyn AU - Michael Zarichnyi TI - Open mapping theorems for capacities JO - Fundamenta Mathematicae PY - 2011 VL - 211 IS - 1 SP - 1 EP - 13 AB - 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. LA - eng KW - capacity; open mapping theorem; Milyutin map; capacity functor UR - http://eudml.org/doc/282943 ER -