Geodesic
Higher topological complexity for fibrations
Filomat, Tome 36 (2022) no. 20, p. 6885

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DOI

We introduce the higher topological complexity (TC n) of a fibration in two ways: the higher homotopic distance and the Schwarz genus. Then we have some results on this notion related to TC, TC n or cat of a topological space or a fibration. We also show that TC n of a fibration is a fiber homotopy equivalence.
DOI : 10.2298/FIL2220885I
Classification : 55M30, 55R70, 55M99, 68T40, 55R10
Keywords: Topological complexity number, digital topology, homotopy theory, digital topological complexity number 
Melih Ís; Ísmet Karaca. Higher topological complexity for fibrations. Filomat, Tome 36 (2022) no. 20, p. 6885 . doi: 10.2298/FIL2220885I
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     author = {Melih \'Is and \'Ismet Karaca},
     title = {Higher topological complexity for fibrations},
     journal = {Filomat},
     pages = {6885 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220885I},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220885I/}
}
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