Bulletin of the Belgian Mathematical Society-Simon Stevin, ( ISI ), No (15), Year (2008-9) , Pages (455-464)

Title : ( Topological homotopy groups )

Authors: Fateme Helen Ghane Ostadghassemi , Zainab Hamed Labbafian , Behrooz Mashayekhy Fard , Bibi Hanieh Mirebrahimi Paziquee ,

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D. K. Biss (Topology and its Applications 124 (2002) 355-371) introduced the topological fundamental group and presented some interesting basic properties of the notion. In this article we intend to extend the above notion to homotopy groups and try to prove some similar basic properties of the topological homotopy groups. We also study more on the topology of the topological homotopy groups in order to find necessary and sufficient conditions for which the topology is discrete. Moreover, we show that studying topological homotopy groups may be more useful than topological fundamental groups.


, Topological fundamental group, homotopy group, n -semilocally simply connected
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author = {Ghane Ostadghassemi, Fateme Helen and Hamed Labbafian, Zainab and Mashayekhy Fard, Behrooz and Mirebrahimi Paziquee, Bibi Hanieh},
title = {Topological homotopy groups},
journal = {Bulletin of the Belgian Mathematical Society-Simon Stevin},
year = {2008},
number = {15},
month = {September},
issn = {1370-1444},
pages = {455--464},
numpages = {9},
keywords = {Topological fundamental group; homotopy group; n -semilocally simply connected},


%0 Journal Article
%T Topological homotopy groups
%A Ghane Ostadghassemi, Fateme Helen
%A Hamed Labbafian, Zainab
%A Mashayekhy Fard, Behrooz
%A Mirebrahimi Paziquee, Bibi Hanieh
%J Bulletin of the Belgian Mathematical Society-Simon Stevin
%@ 1370-1444
%D 2008