Difference between revisions of "Pseudo-arc"

From hyperspacewiki
Jump to: navigation, search
Line 3: Line 3:
 
=Properties=
 
=Properties=
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:800px">
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:800px">
<strong>Theorem:</strong> The property of being a pseudo-arc is a Whitney property.
+
<strong>Theorem:</strong> The property of being a pseudo-arc is a [[Whitney property]].
 
<div class="mw-collapsible-content">
 
<div class="mw-collapsible-content">
 
<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  

Revision as of 16:47, 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: