On the number of inscribed squares of a simple closed curve in the plane

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dc.creatorPopvassilev, Strashimir G.
dc.date2008-10-27
dc.date.accessioned2026-07-07T10:13:24Z
dc.date.available2026-07-07T10:13:24Z
dc.descriptionWe show that for every positive integer n there is a simple closed curve in the plane (which can be taken infinitely differentiable and convex) which has exactly n inscribed squares.
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0810.4806
dc.identifierhttp://arxiv.org/abs/0810.4806
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172519
dc.subjectGeneral Topology
dc.subjectGeometric Topology
dc.subject54F15, 57N05, 57N35
dc.titleOn the number of inscribed squares of a simple closed curve in the plane
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