Topology Proceedings Document # baad-09
topology proceedings
Electronic Version 17 (1992), 1-27

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Multi-valued functions and triviality

Zvonko Cerin

We give in this paper a description of a new extension of the concept of contractible spaces to arbitrary topological spaces analogous to the notion of spaces of trivial shape. We shall use multi-valued functions with smaller and smaller images of points. Our notion is modeled on the property that every map from a contractible space is null-homotopic.

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Copyright © 1998 Auburn University and Topology Atlas | Date published electronically: January 07, 1998