Geodesic
The convergence space of minimal usco mappings
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 101-128 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all continuous functions is also addressed.
A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all continuous functions is also addressed.
Classification : 54A05, 54C60, 54E15
Keywords: minimal usco map; convergence space; complete uniform convergence space; pointwise convergence; order convergence 
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Anguelov, R.; Kalenda, O. F. K. The convergence space of minimal usco mappings. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 101-128. http://geodesic.mathdoc.fr/item/CMJ_2009_59_1_a7/

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