International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 291-298
Proper shape invariants: Tameness and movability
University of Zagreb, Department of Mathematics, Zagreb 41001, Croatia
Received 8 October 1993; Revised 5 November 1994
Copyright © 1996 Zvonko Čerin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study geometric properties of topological spaces called proper -tameness,
proper -tameness, and proper -movability, where and denote classes of spaces. They
are related to proper -tameness and proper -movability from  and could be regarded
as their dual forms. All three are invariants of a recently invented author's proper shape
theory and are described by the use of proper multi-valued functions. We explore their basic
properties and prove several results on their preservation under proper maps.