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The Higher Topological Complexity of Complement of Fiber Type Arrangement

$icon-email$ Nguyen Viet Dung , Nguyen Van Ninh

Abstract

Let $A$ be a fiber type arrangement of hyperplanes in $C_{n}$ 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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The Higher Topological Complexity of Complement of Fiber Type Arrangement

Abstract