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A homogeneous continuum that is non-Effros

A homogeneous continuum that is non-Effros

Using a very geometric, intuitive construction, an example is given of a homogeneous, compact, connected Hausdorff space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis upper X comma upper T right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>X</mml:mi> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(X,T)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> that does not satisfy the conclusion of …