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=14406
Characteristic mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Characteristic_mapping&oldid=14406
This article was adapted from an original article by A.F. Kharshiladze (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article