Self-homeomorphic continua -
simple examples 1 - 10
A set of ten examples and
the offer of all sets (of this chapter):
-
simple examples - sets
1-10 .
-
common examples - sets
-
advanced examples - sets
-
terrible examples - sets
-
Sierpinski Universal Curve
![](e0010/figure.gif)
an
one-dimensional
continuum
in the plane that contains a topological copy of every
one-dimensional
continuum in the plane
Files :
comment.htm .
example.htm .
figure.gif .
figure.mws .
figure0.gif .
figure1.gif .
latex.bak .
latex.tex .
title.txt .
-
Menger Universal Curve
![](e0020/figure.gif)
a
self-homeomorphic
continuum
Files :
comment.htm .
example.htm .
figure.gif .
figure.mws .
latex.bak .
latex.tex .
title.txt .
-
Sierpinski Triangle
![](e0030/figure.gif)
a
self-homeomorphic
continuum
in the plane
Files :
comment.htm .
example.htm .
figure.gif .
figure.mws .
figure1.gif .
figure2.gif .
figure3.gif .
latex.bak .
latex.tex .
title.txt .
-
Root
![](e0040/figure.gif)
a
self-homeomorphic
continuum
Files :
comment.htm .
example.htm .
figure.gif .
figure.mws .
latex.bak .
latex.tex .
title.txt .