Adjointness of Suspension and Shape Path Functors

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)...

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Bibliographic Details
Main Authors: Tayyebe Nasri, Behrooz Mashayekhy, Hanieh Mirebrahimi
Format: Article
Language:English
Published: University of Kashan 2021-03-01
Series:Mathematics Interdisciplinary Research
Subjects:
Online Access:https://mir.kashanu.ac.ir/article_111348_a639434f373b5e2c1e63558d731d8772.pdf