Ghastly Generalized Manifolds with the Plentiful 2-Manifolds Property
by
Denise M. Halverson
University of Tennessee at Knoxville

A space X has the plentiful 2-manifolds property if each path \alpha: I --> X can be approximated by a path \alpha': I --> X such that \alpha'(I) subset N subset X where N is a 2-manifold.

The construction of resolvable generalized n-manifold, n >= 5, with the plentiful 2-manifolds property, but with no embedded k-cells for some given k such that 2 < k < [(n+1)/2], will be discussed. The product of such generalized manifolds with a line is a manifold. This class of generalized n-manifolds enlarges the class of generalized manifolds known to be n+1 manifold factors.

Date received: May 12, 1998

Copyright © 1998 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 # cabi-06.