Autohomeomorphisms and continuous functions on \betaSeq(\xi)
by
Andrzej Szymanski
Slippery Rock University

For an ultrafilter \xi on \omega, Seq(\xi) denotes the topological space ( ^{< \omega}\omega, T) , where We discuss the group of autohomeomorphisms of the space \betaSeq(\xi) in the case \xi is a selective ultrafilter on \omega. We discuss continuous functions from \betaSeq(\xi) into Cantor cubes in the case \xi is a nowhere dense ultrafilter on \omega.

Date received: February 3, 1998