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A counterexample for some lower semicontinuity results

โœ Scribed by Goswin Eisen


Publisher
Springer-Verlag
Year
1978
Tongue
French
Weight
98 KB
Volume
162
Category
Article
ISSN
0025-5874

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In the paper (Theoret. Comput. Sci. 237 (2000)) Anderson present a theorem which characterizes any semiretract S by means of two retracts R and R!: The รฟrst part of the paper contains a counterexample for this characterization. Then some results are presented which รฟnally lead to the theorem which d

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2 We shall comment later on the validity of the presented results in a broader context. 3 We have also, (A i ) iโˆˆI lower converges to A if and only if for all x โˆˆ A, lim dist (x; A i ) = 0 (where dist (x; A) = inf aโˆˆA x -a ). 4 The name "persistance" has been also used in [6,7,14].