Generalization of one result of Vera
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Jan Kokhanowski University, Kielce, 25-001, Poland
Keywords:
Vera result, topological space
Abstract
A Vera result on necessary and sufficient conditions of the metrizability of all compact subspaces in $C_p (X)$ for completely regular space $X$ is generalized on the case of topological space $X$.
References
[1] Lebesgue H. Sur les fonctions representables analitiquement // Journ. Math., ser.2. - 1905. - 1. - P.139-216.
[2] Moran W. Separate continuity and support of measures // J. London. Math. Soc. - 1969. - 44 . - P.320-324.
[3] Rosental H.P. On injective Banach spaces and the $L^∞ (μ)$ for finite measure $μ$ // Acte Math. - 1970. - 124 . - P.205-247.
[4] Vera G. Baire measurability of separately continuous functions // Quart. J. Math. Oxford. - 1988. - 39 , № 153. - P.109-116.
Cite
- ACS Style
- Mykhaylyuk, V. Generalization of one result of Vera. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Mykhaylyuk V. Generalization of one result of Vera. Bukovinian Mathematical Journal. 2018; 1(228).
- Chicago/Turabian Style
- Volodymyr Mykhaylyuk. 2018. "Generalization of one result of Vera". Bukovinian Mathematical Journal. 1 no. 228.
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