ON (THICK, WEAK THICK)SPANIER TOPOLOGY ON nth HOMOTOPY GROUP

Abstract

In this paper, we introduce nth thick and nth weak thick Spanier groups and by using
these subgroups of nth homotopy groups of a topological space, we define topologies on the nth
homotopy groups and show that homotopy groups with these topologies are topological group.
At the end of this paper, we study some of the properties of these topologies and their relations
with context space.