Abstract
Real multifunctions on connected spaces are studied. In the class of connected and locally compact metrizable spaces structural characterizations are shown of such ones on which each either lower or upper semicontinuous real multifunction with connected values (and possibly with boundary point-inverses) is either almost open or pseudo-almost open. Many related results are obtained.
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Charatonik, J.J., Omiljanowski, K., Ricceri, B. et al. Openness properties of real multifunctions on some connected spaces. Rend. Circ. Mat. Palermo 37, 201–245 (1988). https://doi.org/10.1007/BF02844523
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DOI: https://doi.org/10.1007/BF02844523