شماره ركورد كنفرانس :
3503
عنوان مقاله :
A quotient topology on the shape homotopy groups
Author/Authors :
T. Nasri University of Bojnord , F. Ghanei Ferdowsi University of Mashhad , H. Mirebrahimi Ferdowsi University of Mashhad
كليدواژه :
Topological shape homotopy group , shape group , topological group , quotient topology
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده لاتين :
In 2016, the authors considered a topology on the shape homotopy groups of arbitrary topological spaces, π top k (X, x), which make them Hausdorff topological groups. In this talk, we define the kth shape loop space for all k ∈
N and consider a quotient topology on the kth shape group,induced by the kth shape loop space. Then we show that this quotient opology coincides with the above topology
