ON HOMEOMORPHISMS OF FUNCTION SPACES OVER PRODUCTS WITH COMPACTA

نویسندگان

چکیده

We show that if Cp(X×Z) is homeomorphic to Cp(Y×Z), where Z compact, and X Y are of countable netweight, then Cp(X×M) Cp(Y×M) for some metric compactum M. Spaces X,Y,Z, M assumed nonempty.

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ژورنال

عنوان ژورنال: Rocky Mountain Journal of Mathematics

سال: 2022

ISSN: ['0035-7596', '1945-3795']

DOI: https://doi.org/10.1216/rmj.2022.52.2003