Difference between revisions of "Pseudo-arc"

From hyperspacewiki
Jump to: navigation, search
Line 17: Line 17:
  
 
=References=
 
=References=
 +
[https://staff.fnwi.uva.nl/j.vanmill/papers/papers2015/pseudoarc.pdf A Note on an Unusual Characterization of the Pseudo-arc by Jan Van Mill]
 
[http://topology.auburn.edu/pm/pseudodraw.pdf Drawing the pseudo-arc by Wayne Lewis and Piotr Minc]
 
[http://topology.auburn.edu/pm/pseudodraw.pdf Drawing the pseudo-arc by Wayne Lewis and Piotr Minc]

Revision as of 16:59, 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:

References

A Note on an Unusual Characterization of the Pseudo-arc by Jan Van Mill Drawing the pseudo-arc by Wayne Lewis and Piotr Minc