This article is cited in 2 papers

Alexandroff's Double Arrow Compact Space and Approximation Theory

L. P. Vlasov

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

Abstract: A compact space $\widetilde Q$ similar to the compact space known as Alexandroff's double arrow space is constructed. It is shown that the real space $C(\widetilde Q)$ has no Chebyshev subspaces of codimension $>1$, but the complex space $C(\widetilde Q)$ has such subspaces.

UDC: 517.982.256+513.83

Received: 26.07.1999

DOI: 10.4213/mzm696

 English version: Mathematical Notes, 2001, 69:6, 749–755

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