Selection theorems under an assumption weaker than lower semi-continuity
Tài liệu tham khảo
Brown, 1989, Set valued mappings, continuous selections, and metric projections, J. Approx. Theory, 57, 48, 10.1016/0021-9045(89)90083-X
Čoban, 1970, Many-valued mappings and Borel sets II, Trans. Moscow Math. Soc., 23, 286
De Blasi, 1985, Continuous selections for weakly Hausdorff lower semicontnuous multifunctions, Proc. Amer. Math. Soc., 93, 369, 10.1090/S0002-9939-1985-0770557-1
Gutev, 1987, Unified selection and factorization theorems, Compt. Rend. Acad. Bulgur. Sci., 40, 13
Lavrentieff, 1924, Contribution à la théorie des ensemble homéomorphes, Fund. Math., 6, 149, 10.4064/fm-6-1-149-160
Michael, 1959, A. theorem on semi-continuous set-valued functions, Duke Math. J., 26, 647, 10.1215/S0012-7094-59-02662-6
Michael, 1980, Continuous selections and finite-dimensional sets, Pacific J. Math., 87, 189, 10.2140/pjm.1980.87.189
Nedev, 1980, Selection and factorization theorems for set-valued mappings, Serdica, 6, 291