Author/Authors :
Nasri, Tayyebe Department of Pure Mathematics - Faculty of Basic Sciences - University of Bojnord, Bojnord, Iran , Mashayekhy, Behrooz Department of Pure Mathematics - Center of Excellence in Analysis on Algebraic Structures - Ferdowsi University of Mashhad, Mashhad, Iran , Mirebrahimi, Hanieh Department of Pure Mathematics - Center of Excellence in Analysis on Algebraic Structures - Ferdowsi University of Mashhad, Mashhad, Iran
Abstract :
In this paper, we introduce a subcategory ∼Sh* of Sh* and obtain some results in this subcategory. First we show that there is a natural bijection Sh(∑(X, x), (Y,y))≅Sh((X,x),Sh((I, Ī),(Y,y))), for every (Y,y)∈ ~Sh* and (X,x)∈ Sh*. By this fact, we prove that for any pointed topological space (X,x) in ∼Sh*,πntop(X,x)≅ πn-ktop(Sh((Sk, *),(X,x)), ex), for all 1≤k ≤n-1.
Keywords :
Shape category , Topological shape homotopy group , Shape group , Suspensions
