A characterization of spaces l - equivalent to the unit interval ✩
نویسنده
چکیده
Two topological spaces X and Y are said to be l-equivalent if there is a linear homeomorphism between Cp(X) and Cp(Y ), the spaces of continuous functions on X and Y endowed with the pointwise convergence topology. We prove a necessary condition on a topological space to be lequivalent to the n-dimensional cube. This, in particular, combined with a recent result of R. Górak, characterizes the topological spaces l-equivalent to the compact interval. 2003 Elsevier B.V. All rights reserved.
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تاریخ انتشار 2003