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The Higher Topological Complexity of Complement of Fiber Type Arrangement

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Abstract

Let 𝓐 be a fiber type arrangement of hyperplanes in ℂn with complement M(𝓐) (see Orlik, O., Terao, H. 1992). In this paper, we will give an explicit formula for the higher topological complexity T C n for the complement M(𝓐) in terms of exponents of the arrangement 𝓐.

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Acknowledgments

The authors would like to thank the referee who has critically read the first manuscript of this paper and help them to bring it to the present form.

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Authors and Affiliations

  1. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307, Cau Giay, Hanoi, Vietnam

    Nguyen Viet Dung

  2. Department of Mathematics, Thai Nguyen University of Education, 20 Luong Ngoc Quyen, Quang Trung, Thai Nguyen, Vietnam

    Nguyen Van Ninh

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  1. Nguyen Viet Dung
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  2. Nguyen Van Ninh
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Correspondence to Nguyen Viet Dung.

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Dung, N.V., Van Ninh, N. The Higher Topological Complexity of Complement of Fiber Type Arrangement. Acta Math Vietnam 42, 249–256 (2017). https://doi.org/10.1007/s40306-016-0199-3

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  • DOI: https://doi.org/10.1007/s40306-016-0199-3

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