19 citations · 64 across the 18 of their papers we have counts for
21 papers · 1 filter
On Topological Homotopy Groups and Relation to Hawaiian Groups
Ameneh Babaee, Behrooz Mashayekhy, Hanieh Mirebrahimi +2
By generalizing the whisker topology on the th homotopy group of pointed space , denoted by , we show that is a topological group…
On Hawaiian homology groups
Hamid Torabi, Hanieh Mirebrahimi, Ameneh Babaee
In this paper, we introduce a kind of homology which we call Hawaiian homology to study and classify pointed topological spaces. The Hawaiian homology group has advantages of Hawai…
On quasi-small loop groups
Mojtaba Moharreri, Behrooz Mashayekhy, Hanieh Mirebrahimi +2
In this paper, we study some properties of homotopical closeness for paths. We define the quasi-small loop group as the subgroup of all classes of loops that are homotopically clos…
On Generalized Covering Groups of Topological Groups
Hamid Torabi, Mehdi Abdullahi Rashid, Majid Kowkabi
It is well-known that a homomorphism p between topological groups K, G is a covering homomorphism if and only if p is an open epimorphism with discrete kernel. In this paper we gen…
On Subgroup Topologies on Fundamental Groups
M. Ab dullahi Rashid, N. Jamali, B. Mashayekhy +2
It is important to classify covering subgroups of the fundamental group of a topological space using their topological properties in the topologized fundamental group. In this pape…
On Topologized Fundamental Group and covering spaces of topological groups
Hamid Torabi
In this paper, we show that every topological group is a strong small loop transfer space at the identity element. This implies that the quasitopological fundamental group of a con…