In this paper, considering the kth shape loop space Ω ˇ p k -X, x-, for an HPol∗-expansion

p : -X, x- → --Xλ, xλ-, [pλλ], Λ- of a pointed topological space -X, x-, first we show

that Ω ˇ p

k-X, x- is ...

The paper is devoted to study the behavior of quasitopological homotopy groups on inverse limit spaces. More precisely, we present some conditions under which the quasitopological homotopy group of an inverse limit space ...

The paper is devoted to the study of coarse shape of Cartesian products of topological spaces. If the Cartesian product of two spaces $X$ and $Y$ admits an HPol-expansion, which is the Cartesian product of HPol-expansions ...

In this talk we intend to generalize some results of Conner and Lamereaux on the countability of π1(X, x). For this,

we show that some properties of topological spaces can be transferred from X to the loop space ...

In this paper, using the topology on the set of shape morphisms between arbitrary topological spaces $X$,

$Y$, $Sh(X,Y)$, defined by Cuchillo-Ibanez et al. in 1999, we consider a topology on the shape homotopy groups ...