The n-dimensional Spanier group | Zendy

A. A. Bahredar | Zendy; N. Kouhestani | Zendy; Hadi Passandideh | Zendy

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The n-dimensional Spanier group

Author(s) -

A. A. Bahredar,

N. Kouhestani,

Hadi Passandideh

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2109169b

Subject(s) - mathematics , group (periodic table) , space (punctuation) , simple (philosophy) , covering space , versa , cover (algebra) , simply connected space , combinatorics , pure mathematics , computer science , epistemology , physics , world wide web , mechanical engineering , philosophy , quantum mechanics , engineering , operating system

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.

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