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Somewhat continuity on linear topological spaces implies continuity. (English) Zbl 0425.46001
MSC:
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
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References:
[1] ARYA S. P., DEB M.: On mappings almost continuous in the sense of Frolik. Math. Stud. 41, 1974, 311-321. · Zbl 0341.54013
[2] BYCZKOWSKI T., POL R.: Closed Graph and Open Mapping Theorems. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys., 24, 1976, 723-726. · Zbl 0336.54011
[3] FROLIK Z.: Remarks concerning the invariance of Baire spaces under mappings. Czechosl. Math. J. 11 (86), 1961,381-385. · Zbl 0104.17204
[4] GENTRY K. R., HOYLE, III. H. B.: Somewhat continuous functions. Czechosl. Math. J. 21 (96), 1971, 5-12. · Zbl 0222.54010
[5] KELLEY J. L., NAMIOKA I., co-authors: Linear topological spaces. Van Nostrand 1963.
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