Rigid Stone spaces within 𝑍𝐹𝐶

Dow, A.; Gubbi, A. V.; Szymański, A.

doi:10.1090/S0002-9939-1988-0929014-4

Rigid Stone spaces within $\textrm {ZFC}$
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by A. Dow, A. V. Gubbi and A. Szymański PDF

Proc. Amer. Math. Soc. 102 (1988), 745-748 Request permission

Abstract:

We construct within ZFC a family of pairwise nonhomeomorphic dense-in-itself rigid extremally disconnected compact separable spaces. Any such space is determined by a sequence of weak $P$-points of ${{\mathbf {N}}^ * }$ having different types.

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