Geodesic
On Absolutely Closed Multivalued Mappings of Topological Spaces
Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 120

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Zbl

We present results concerning absolute closeness of multivalued mappings for some well-known classes of pointwise closed mappings. The main results are the characterizations of absolute closeness for cofinally continuous and for residually continuous multivalued mappings. We found necessary and sufficient conditions so that the multivalued mapping $F:X\longrightarrow Y$ cannot be extended to a cofinally or a residually continuous mapping $F:X^*\longrightarrow Y$ from a space $X^*$ in which $X$ is a proper dense subset. We also proved some characterizations of cofinally and residually continuous mappings.
Classification : 54C60 54C20 
Miodrag Mišić. On Absolutely Closed Multivalued Mappings of Topological Spaces. Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 120 . http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a13/
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     author = {Miodrag Mi\v{s}i\'c},
     title = {On {Absolutely} {Closed} {Multivalued} {Mappings} of {Topological} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {120 },
     year = {1997},
     volume = {_N_S_62},
     number = {76},
     zbl = {0885.54015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a13/}
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