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Some Results on Homogeneity with Respect to Monotone Maps
by
Carl R. Seaquist
Texas Tech University
It is known that the disk is homogeneous with respect to open maps. We show that the disk is not homogeneous with respect to monotone maps. We then discuss how this result can be generalized to other planar manifolds with boundary. Finally we show a non-compact planar manifold with boundary that is homogeneous with respect to monotone open maps.
Date received: January 31, 1996
Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-19.