凸紧与可见紧的唯一可恢复性

Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI:10.1070/SM1992V073N01ABEH002531

V. Golubyatnikov

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引用次数: 5

摘要

问题是:在什么条件下两个紧矢量在每个二维平面上的投影的同余意味着紧矢量本身的同余?将所得结果推广到(n - 2)-可见紧与(n - 2)-凸紧的情况，甚至推广到已知紧的投影仅仅相似的情况。

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ON UNIQUE RECOVERABILITY OF CONVEX AND VISIBLE COMPACTA FROM THEIR PROJECTIONS

The question is: Under what conditions does the congruence of the projections of two compacta on every two-dimensional plane imply the congruence of the compacta themselves? The results are extended to the cases of (n – 2)-visible and (n – 2)-convex compacta, and even to the case when it is known the projections of the compacta are merely similar.

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Mathematics of The Ussr-sbornik

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