|
|
|
|
adjointness of suspension and shape path functors
|
|
|
|
|
|
|
|
نویسنده
|
nasri tayyebe ,mashayekhy behrooz ,mirebrahimi hanieh
|
|
منبع
|
mathematics interdisciplinary research - 2021 - دوره : 6 - شماره : 1 - صفحه:23 -33
|
|
چکیده
|
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)≅ πnktop(sh((sk, *),(x,x)), ex), for all 1≤k ≤n-1.
|
|
کلیدواژه
|
shape category ,topological shape homotopy group ,shape group ,suspensions
|
|
آدرس
|
university of bojnord, faculty of basic sciences, department of pure mathematics, iran, ferdowsi university of mashhad, center of excellence in analysis on algebraic structures, department of pure mathematics, iran, ferdowsi university of mashhad, center of excellence in analysis on algebraic structures, department of pure mathematics, iran
|
|
پست الکترونیکی
|
h_mirebrahimi@um.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|