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A selection theorem for a new class of set-valued maps |
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| Authors: | S. A. Drozdovskii V. V. Filippov |
| Affiliation: | (1) M. V. Lomonosov Moscow State University, Moscow, USSR |
| Abstract: | A new class of set-valued maps that includes all upper and lower semicontinuous set-valued maps is introduced. For this class, a selection theorem having applications in the theory of differential inclusions is presented. Translated fromMatematicheskie Zametki, Vol. 66, No. 4, pp. 503–507, October, 1999. |
| Keywords: | set-valued map upper and lower semicontinuous map upper and lower semicontinuous selection compact-valued selection hereditarily normal space extremally disconnected space compete metric space |
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