Title : ( On Hawaiian groups of the infinite dimensional Hawaiian earring )
Authors: Ameneh Babaee , Behrooz Mashayekhy Fard , Bibi Hanieh Mirebrahimi Paziquee , Hamid Torabi Ardakani ,
Full TextAbstract
We study Hawaiian groups of the infinite dimensional Hawaiian earring which is the weak join of all finite dimensional Hawaiian earrings. We show that the structure of the 1st Hawaiian groups of the infinite dimensional Hawaiian earring and the one dimensional Hawaiian earring are isomorphic. Also, for n ≥ 2, we prove that the nth Hawaiian group of the infinite dimensional Hawaiian earring is isomorphic to the direct product of direct sum of a family consisting of quotient of nth homotopy groups of consecutive retractions.
Keywords
, Hawaiian group; Hawaiian earring; Weak join; Free σ, product
@article{paperid:1088843,
author = {Babaee, Ameneh and Mashayekhy Fard, Behrooz and Mirebrahimi Paziquee, Bibi Hanieh and Torabi Ardakani, Hamid},
title = {On Hawaiian groups of the infinite dimensional Hawaiian earring},
journal = {Topology and its Applications},
year = {2022},
volume = {306},
number = {1},
month = {February},
issn = {0166-8641},
pages = {107920--11},
numpages = {-107909},
keywords = {Hawaiian group; Hawaiian earring; Weak join; Free σ-product},
}
%0 Journal Article
%T On Hawaiian groups of the infinite dimensional Hawaiian earring
%A Babaee, Ameneh
%A Mashayekhy Fard, Behrooz
%A Mirebrahimi Paziquee, Bibi Hanieh
%A Torabi Ardakani, Hamid
%J Topology and its Applications
%@ 0166-8641
%D 2022
