This article is cited in 9 papers

On unique recoverability of convex and visible compacta from their projections

V. P. Golubyatnikov


Abstract: 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.

UDC: 514

MSC: Primary 52A15; Secondary 52A05, 52A10, 68U10, 52A20

Received: 08.06.1989

 English version: Mathematics of the USSR-Sbornik, 1992, 73:1, 1–10

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