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20112025
most citedOn Topological Homotopy Groups and Relation to Hawaiian Groups

3 citations · 3 across the 8 of their papers we have counts for

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math.AT2025

On Targeted Complexity of Discrete Motion

Ameneh Babaee, Hanieh Mirebrahimi, Hamid Torabi +1

In this paper, we study targeted simplicial complexity introduced for situations where the configuration space possesses a simplicial structure together with a set o…

math.AT2024

Discrete homotopic distance between Lipschitz maps

Elahe Hoseinzadeh, Hanieh Mirebrahimi, Hamid Torabi +1

In this paper, we investigate a discrete version of the homotopic distance between two -Lipschitz maps for . This distance is defined by specifying a step length t…

math.AT2024

A Discrete Topological Complexity of Discrete Motion Planning

Hadi Hassanzada, Hamid Torabi, Hanieh Mirebrahimi +1

In this paper we generalize the discrete r-homotopy to the discrete (s, r)-homotopy. Then by this notion, we introduce the discrete motion planning for robots which can move discre…

math.AT2022★ 3 cited

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…

math.AT2022

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…

math.AT2022

On the Targeted Complexity of a Map

Seyed Abolfazl Aghili, Hanieh Mirebrahimi, Ameneh Babaee

We study the topological complexity of work maps with respect to some subspaces of the configuration space and a workspace considered as the target set of the motion of robots. The…

math.AT2021

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…

math.AT2017

On a Van Kampen Theorem for Hawaiian Groups

Ameneh Babaee, Behrooz Mashayekhy, Hanieh Mirebrahimi +1

The paper is devoted to study the th Hawaiian group , , of the wedge sum of two spaces . Indeed, we are going to gi…

math.AT2011

On Hawaiian Groups of Some Topological Spaces

Ameneh Babaee, Behrooz Mashayekhy, Hanieh Mirebrahimi

The paper is devoted to study the structure of Hawaiian groups of some topological spaces. We present some behaviors of Hawaiian groups with respect to product spaces, weak join sp…