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A note on injectiveC(T)-spaces and the Amir boundary

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Abstract

We sovle in the negative a problem of Wolfe ifC(T A ) is an injective Banach space wheneverC(T) is injective,T compact, andT A is the Amir boundary ofT (i.e., the complement of the maximal open extremally disconnected subset ofT). In particular, we findT such thatC(T) is aP 3-space andT A ∼βN\N.

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Authors and Affiliations

  1. Institute of Mathematics, A. Mickiewicz University, ul. Matejki 48/49, 60-769, Poznań, Poland

    Paweł Domański

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  1. Paweł Domański
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The author’s research was partially supported by a grant of MEN, Poland.

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Domański, P. A note on injectiveC(T)-spaces and the Amir boundary. Israel J. Math. 73, 357–359 (1991). https://doi.org/10.1007/BF02773847

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  • DOI: https://doi.org/10.1007/BF02773847

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