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Question: does there exist an extremally disconnected infinite Hausdorff compact space $\ X\ $ such that the only homeomorphism $\ h: X\to X\ $ is the identity hoeomorphismhomeomorphism $\ h=\mathbb I_X:\ X\to X\quad $?



Question: does there exist an extremally disconnected infinite Hausdorff compact space $\ X\ $ such that the only homeomorphism $\ h: X\to X\ $ is the identity hoeomorphism $\ h=\mathbb I_X:\ X\to X\quad $?



Question: does there exist an extremally disconnected infinite Hausdorff compact space $\ X\ $ such that the only homeomorphism $\ h: X\to X\ $ is the identity homeomorphism $\ h=\mathbb I_X:\ X\to X\quad $?


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Extremally disconnected rigid infinite Hausdorff compacta(?)


Question: does there exist an extremally disconnected infinite Hausdorff compact space $\ X\ $ such that the only homeomorphism $\ h: X\to X\ $ is the identity hoeomorphism $\ h=\mathbb I_X:\ X\to X\quad $?