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 many-body problem. (See Straume’s [ Str ] , for example.)

• topology of configuration spaces
• braid groups
• arrangements of hyperplanes and related structures
• spaces of other geometric objects and maps

References