Open AccessThe n-dimensional Spanier group
Author(s) -
A. A. Bahredar,
Nader 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.