Topological properties of multi-valued functions

Articles > Article · 2022

Authors: Gökhan Temizel, İsmet Karac

Filomat, International, WoS, 2022, vol 36, pp 6979-6990

DOI: 10.2298/fil2220979t

Summary

In this paper, we generalize properties for single-valued functions in homotopy theory to multi-valued functions. We present new definitions for multi-valued functions such as locally m-pathwise connected, m-simply connected, m-covering space, and regular m-covering space. We apply some topological properties from algebraic topology to the multi-valued functions.

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