  The group of compactly supported homeomorphisms on a Tychonoff space can be
topologized in a number of ways, including as a colimit of homeomorphism groups
with a given compact support, or as a subgroup of the homeomorphism group of
its Stone-\v{C}ech compactification. A space is said to have the Compactly
Supported Homeomorphism Property (CSHP) if these two topologies coincide. The
authors develop techniques for showing that products of certain spaces with
CSHP, such as the Closed Long Ray and the Long Line, have CSHP again.
