Abstract
A quotient space ofC (w w ), the continuous functions on the ordinals not greater thanW w with the order topology, is constructed which is not isomorphic to a subspace ofC(α),a < w 1.
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D. E. Alspach,Quotients of c 0 are almost isometric to subspaces of c 0 , Proc. Amer. Math. Soc.76 (1979), 285–288.
Y. Benyamini,An extension theorem for separable Banach spaces, Israel J. Math.29 (1978), 24–30.
Y. Benyamini and J. Lindenstrauss,A predual of l 1 which is not isomorphic to a C(K) space, Israel J. Math.13 (1972), 246–254.
W. B. Johnson and M. Zippin,On subspaces of quotients of (ΣG n)tp and (ΣGn)c0, Israel J. Math.13 (1972), 311–316.
J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces, Springer-Verlag Lecture Notes in Mathematics338, 1973.
S. Mazurkiewicz and W. Sierpinski,Contribution à la topologie des ensembles denomrables, Fund. Math.1 (1920), 17–27.
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Supported in part by NSF-MCS 7610613.
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Alspach, D.E. A quotient ofC (w w ) which is not isomorphic to a subspace ofC(α),a < w 1 . Israel J. Math. 35, 49–60 (1980). https://doi.org/10.1007/BF02760938
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DOI: https://doi.org/10.1007/BF02760938