Geodesic
Topological properties of multi-valued functions
Filomat, Tome 36 (2022) no. 20, p. 6979

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DOI

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.
DOI : 10.2298/FIL2220979T
Classification : 54C15, 54C60, 55P10, 55Q05
Keywords: Multi-valued function, multi-homotopy, m-retraction, m-homotopy equivalence, m-covering space 
Gökhan ;  Temizel; Ísmet Karaca. Topological properties of multi-valued functions. Filomat, Tome 36 (2022) no. 20, p. 6979 . doi: 10.2298/FIL2220979T
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     author = {G\"okhan  and  Temizel and \'Ismet Karaca},
     title = {Topological properties of multi-valued functions},
     journal = {Filomat},
     pages = {6979 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220979T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220979T/}
}
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