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Research Papers Dedicated to the 100th Anniversary of P. S. Alexandroff's Birth

On sequential completeness of $C_{\lambda}(X)$

N. V. Velichko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We have obtained a criterion of sequential completeness of the space $C_{\lambda}(X)$ of all continuous real-valued function on $X$ in the topology of uniform convergence on elements of $\lambda$.

UDC: 515.122.55

Received: 01.02.1997

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