Higher Topological Complexity of Complement of a Generic Arrangement

Authors

  • Viet Dung Nguyen Faculty of General Studies, CMC University, Hanoi, Vietnam
  • Van Nin Nguyen Department of Mathematics, Thai Nguyen University of Education Vietnam

Keywords:

Topological complexity, Schwarz genus, hyperplane arrangements.

Abstract

The notion of higher topological complexity of a topological space was defined by Rudyak in [12], generalized earlier works of M. Far- ber [3], [4], [5], [6]. In this paper, we compute the higher topological complexity for the complement of a generic arrangement. As an application, we compute the higher topological complexity of configuration spaces on Euclidean spaces.

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References

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[10] Nguyen Viet Dung and Nguyen Van Ninh, The higher topological complexity of configuration spaces of odd-dimensional spheres, Proceedings of Congress on Singularities in Kagoshima, Japan, World Scientific (2020), 167-183. 1

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Published

2026-05-31

How to Cite

Higher Topological Complexity of Complement of a Generic Arrangement. (2026). Journal of Prime Research in Mathematics, 2026, 44-50. https://www.jprm.sms.edu.pk/index.php/jprm/article/view/436