Geodesic
The n-dimensional Spanier group
Filomat, Tome 35 (2021) no. 9, p. 3169

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DOI

In this paper, we introduce the based and unbased n-Spanier groups and n-semilocally simply connected spaces, and investigate their relationship. We show that under some conditions, vanishing of the n-Spanier group with respect to an open cover is equivalent to the n-semilocal simple connectivity of that space, and vice versa
DOI : 10.2298/FIL2109169B
Classification : 55Q05, 55Q52, 55U40
Keywords: based and unbased n-spanier group, based and unbased n-semilocally simply connected space, small n-loop, n- homotopically Hausdorff 
Ali Akbar Bahredar; Nader Kouhestani; Hadi Passandideh. The n-dimensional Spanier group. Filomat, Tome 35 (2021) no. 9, p. 3169 . doi: 10.2298/FIL2109169B
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     author = {Ali Akbar Bahredar and Nader Kouhestani and Hadi Passandideh},
     title = {The n-dimensional {Spanier} group},
     journal = {Filomat},
     pages = {3169 },
     year = {2021},
     volume = {35},
     number = {9},
     doi = {10.2298/FIL2109169B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109169B/}
}
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