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- W4386741642 abstract "In this dissertation, we improve the Definable Michael's Selection Theorem in o-minimal expansions of real closed fields. Then applications of this theorem are established; for instance, we prove the following statement: Let be an o-minimal expansion of and T be a definable set-valued map where n = 1 or m=1. If T has a continuous selection, then T has a definable continuous selection. Moreover, we prove the statement: Let be an o-minimal expansion of a real closed field and be a closed subset of Rn. If T: E --> Rm is a definable continuous set-valued map and T is bounded for each in the boundary of E, then T has a definable continuous extension." @default.
- W4386741642 created "2023-09-15" @default.
- W4386741642 creator A5052205394 @default.
- W4386741642 date "2023-09-14" @default.
- W4386741642 modified "2023-09-26" @default.
- W4386741642 title "Selection problems in O-minimal structures" @default.
- W4386741642 doi "https://doi.org/10.58837/chula.the.2017.331" @default.
- W4386741642 hasPublicationYear "2023" @default.
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