19 citations · 134 across the 64 of their papers we have counts for
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Comparison of Topologies on Homotopy Groups with Subgroup Topology Viewpoint
Naghme Shahami, Behrooz Mashayekhy
By introducing various topologies on the homotopy groups of a topological space, some researchers make these well known notions in algebraic topology more useful and powerful. In t…
Covering Maps with respect to Topologies on the Fundamental Group
Naghme Shahami, Behrooz Mashayekhy
In this paper, using the classical covering theory, we introduce a generalization of covering maps of a space with respect to a topology on the fundamental group of . We…
Comparison of Topologies on Fundamental Groups with Subgroup Topology Viewpoint
Naghme Shahami, Behrooz Mashayekhy
In order to make the fundamental group, one of the most well known invariants in algebraic topology, more useful and powerful some researchers have introduced and studied various t…
On Upper Bounds for the Depth of some Classes of Polyhedra
Mojtaba Mohareri, Behrooz Mashayekhy
In this paper, we present upper bounds for the depth of some classes of polyhedra, including: polyhedra with finite fundamental group, polyhedra with abelian or free a…
A Positive Answer to a Question of K. Borsuk on the Capacity of Polyhedra with Finite by Cyclic Fundamental Group
Mojtaba Mohareri, Behrooz Mashayekhy
Karol Borsuk in 1968 asked: Is it true that every finite polyhedron dominates only finitely many different shapes? Danuta Kolodziejczyk showed that generally an answer to the Borsu…
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…