Difference between revisions of "Pseudo-arc"

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The ''pseudo-arc'' is the only [[decomposable | hereditarily indecomposable]] [[chainable continuum]].
 
The ''pseudo-arc'' is the only [[decomposable | hereditarily indecomposable]] [[chainable continuum]].
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=Properties=
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<div class="toccolours mw-collapsible mw-collapsed" style="width:800px">
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<strong>Theorem:</strong> The property of being a pseudo-arc is a Whitney property.
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<div class="mw-collapsible-content">
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<strong>Proof:</strong> █
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</div>
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</div>
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<div class="toccolours mw-collapsible mw-collapsed" style="width:800px">
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<strong>Theorem:</strong> The property of being a pseudo-arc is a sequential strong Whitney-reversible property.
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<div class="mw-collapsible-content">
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<strong>Proof:</strong> █
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</div>
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</div>

Revision as of 16:41, 4 October 2014

The pseudo-arc is the only hereditarily indecomposable chainable continuum.

Properties

Theorem: The property of being a pseudo-arc is a Whitney property.

Proof:

Theorem: The property of being a pseudo-arc is a sequential strong Whitney-reversible property.

Proof: