Characteristic mapping
From Encyclopedia of Mathematics
in topology
A continuous mapping 
from a closed 
-dimensional ball 
into a topological Hausdorff space 
that is a homeomorphism on the interior 
of the ball. The set 
is then called a cell of 
, and 
is called the characteristic mapping of the cell 
. If 
is a cellular space, then the cells of 
are defined as those cells of 
that form the cellular decomposition of 
.
How to Cite This Entry:
Characteristic mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Characteristic_mapping&oldid=42273
Characteristic mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Characteristic_mapping&oldid=42273
This article was adapted from an original article by A.F. Kharshiladze (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article