This paper is devoted to prove several results concerning the homotopy groups of separable metric spaces that generalize some of the main results of [4] and [5] to homotopy groups. In particular, we focus on subspaces of ...

Here, we are going to extend Mycielski’s conjecture to higher homotopy

groups. Also, for an (n − 1)-connected locally (n − 1)-connected compact

metric space X, we assert that ptop

n (X) is discrete if ...

Here, we are going to extend Mycielski’s conjecture to higher homotopy

groups. Also, for an (n¡1)-connected locally (n¡1)-connected compact

metric space X, we assert that ¼top

n (X) is discrete if and ...

The aim of this paper is to discuss the homotopy properties of locally well-behaved spaces.

First, we state a nerve theorem. It gives sufficient conditions under which there is a weak

n-equivalence between ...