Open mapping theorems for capacities

Oleh Nykyforchyn; Michael Zarichnyi

Fundamenta Mathematicae (2011)

  • Volume: 211, Issue: 1, page 1-13
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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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 -

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