Title : ( On nondiscreteness of a higher homotopy group and its cardinality )
Authors: Fateme Helen Ghane Ostadghassemi , Zainab Hamed Labbafian ,
Full TextAbstract
Here, we are going to extend Mycielski’s conjecture to higher homotopy groups. Also, for an (n − 1)-connected locally (n − 1)-connected compact metric space X, we assert that ptop n (X) is discrete if and only if pn(X) is finitely generated. Moreover, p top n (X) is not discrete if and only if it has the power of the continuum.
Keywords
, Topological homotopy group, n-semilocally simply connected space, n-connected space, locally n-connected space.
@article{paperid:1015566,
author = {Ghane Ostadghassemi, Fateme Helen and Hamed Labbafian, Zainab},
title = {On nondiscreteness of a higher homotopy group and its cardinality},
journal = {Bulletin of the Belgian Mathematical Society-Simon Stevin},
year = {2009},
volume = {16},
number = {1},
month = {February},
issn = {1370-1444},
pages = {179--183},
numpages = {4},
keywords = {Topological homotopy group; n-semilocally simply connected space;
n-connected space; locally n-connected space.},
}
%0 Journal Article
%T On nondiscreteness of a higher homotopy group and its cardinality
%A Ghane Ostadghassemi, Fateme Helen
%A Hamed Labbafian, Zainab
%J Bulletin of the Belgian Mathematical Society-Simon Stevin
%@ 1370-1444
%D 2009
