9 research outputs found

    The Alexandroff-Urysohn Square and the Fixed Point Property

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    Every continuous function of the Alexandroff-Urysohn Square into itself has a fixed point. This follows from G. S. Young's general theorem (1946) that establishes the fixed-point property for every arcwise connected Hausdorff space in which each monotone increasing sequence of arcs is contained in an arc. Here we give a short proof based on the structure of the Alexandroff-Urysohn Square

    Combinatorial analysis (matrix problems, order theory)

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    Der Tod und seine Feststellung

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    Thanatologie

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    Graph theory (algorithmic, algebraic, and metric problems)

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