Topology Atlas Document # zaaa-36.htm | Production Editor: R. Flagg

Topology Atlas Invited Contributions, vol. 1, issue 2 (1996), page 14.

© 1996, Topology Atlas

Qustion no. 2 on powers of openly homogeneous spaces

by

Ofelia Teresa Alas (alas@ime.usp.br)

(University of Sao Paulo, Brazil)

A topological space X is openly homogeneous if for every x and y in X there is an open continuous surjection f from X onto X such that f(x)=y.

QUESTION. Is there an example of an openly homogeneous space X such that no power X to kappa (=infinite cardinal) is homogeneous?

Received by the editors: December 13, 1995.