Extending generalized Whitney maps

Ivan Lončar

Address: Faculty of Organizations and Informatics, Varaždin, Croatia

E-mail: ivanloncar18@gmail.com

Abstract: For metrizable continua, there exists the well-known notion of a Whitney map. If $X$ is a nonempty, compact, and metric space, then any Whitney map for any closed subset of $2^{X}$ can be extended to a Whitney map for $2^{X}$ [3, 16.10 Theorem]. The main purpose of this paper is to prove some generalizations of this theorem.

AMSclassification: primary 54B20; secondary 54F15.

Keywords: extending generalized Whitney map, hyperspace.

DOI: 10.5817/AM2017-2-65