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Higher-dimensional generalization of Youngs' theorem and circular colorings (2505.23562v1)
Published 29 May 2025 in math.CO and math.AT
Abstract: In 1996, Youngs proved that any quadrangulation of the real projective plane is not 3-chromatic. This result has been extended in various directions over the years, including to other non-orientable closed surfaces, higher-dimensional analogues of quadrangulations and circular colorings. In this paper, we provide a generalization which yields some of these extensions of Youngs' theorem.