A note on injectiveC(T)-spaces and the Amir boundary |
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| Authors: | Paweł Domański |
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| Institution: | (1) Institute of Mathematics, A. Mickiewicz University, ul. Matejki 48/49, 60-769 Poznań, Poland |
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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.
The author’s research was partially supported by a grant of MEN, Poland. |
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| Keywords: | |
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