Title : ( A VAN-KAMPEN THEOREM TYPE FOR HOMOTOPY GROUPS )
Authors: Fateme Helen Ghane Ostadghassemi , Zainab Hamed Labbafian ,
Full TextAbstract
In 1998, J. Pawlicowski [6] presented a forcing free proof of a conjecture of Mycielski [4] that the fundamental group of a connected locally connected compact metric space is either finitely generated or has the power of the continuum. In this talk, we show that Mycielski’s conjecture is hold, also for higher homotopy groups. J. W. Morgan and I. Morrison [2] among presenting a Van-Kampen theorem for weak joins proved that the canonical homomorphism is injective, where H is the weak join of the Xi (as a special case H can be considered the Hawaiian earring). Here, we extend the injectivity of to higher homotopy groups with some conditions on the Xi
Keywords
, homotopy group, n-semilocally simply connected space, n-connected space, locally n-connected space
@inproceedings{paperid:1012362,
author = {Ghane Ostadghassemi, Fateme Helen and Hamed Labbafian, Zainab},
title = {A VAN-KAMPEN THEOREM TYPE FOR HOMOTOPY GROUPS},
booktitle = {5th Seminar on Geometry and Topology},
year = {2009},
location = {سنندج, IRAN},
keywords = {homotopy group; n-semilocally simply connected space; n-connected
space; locally n-connected space},
}
%0 Conference Proceedings
%T A VAN-KAMPEN THEOREM TYPE FOR HOMOTOPY GROUPS
%A Ghane Ostadghassemi, Fateme Helen
%A Hamed Labbafian, Zainab
%J 5th Seminar on Geometry and Topology
%D 2009
