

Configurations of Geometric Objects

The configuration space of distinct points in an
Euclidean space
plays an important role in homotopy theory because of
its connection to
iterated loop spaces
. Configuration spaces of other spaces and analogous
structures such as
hyperplane arrangements
are popular objects of study in topology,
combinatorics
, and other fields.
In
physics
, configuration spaces appear when we study the
manybody problem. (See Straume’s
[
Str
]
, for example.)


