%0 Journal Article
%T Adjointness of Suspension and Shape Path Functors
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Nasri, Tayyebe
%A Mashayekhy, Behrooz
%A Mirebrahimi, Hanieh
%D 2021
%\ 03/01/2021
%V 6
%N 1
%P 23-33
%! Adjointness of Suspension and Shape Path Functors
%K Shape category
%K Topological shape homotopy group
%K Shape group
%K Suspensions
%R 10.22052/mir.2021.240322.1246
%X 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.
%U https://mir.kashanu.ac.ir/article_111348_a639434f373b5e2c1e63558d731d8772.pdf