A solution to de Groot's absolute cone conjecture

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dc.creatorGuilbault, Craig R.
dc.date2005-07-19
dc.date.accessioned2026-07-07T05:21:51Z
dc.date.available2026-07-07T05:21:51Z
dc.descriptionA compactum X is an `absolute cone' if, for each of its points x, the space X is homeomorphic to a cone with x corresponding to the cone point. In 1971, J. de Groot conjectured that each n-dimensional absolute cone is an n-cell. In this paper, we give a complete solution to that conjecture. In particular, we show that the conjecture is true for n<4 and false for n>4. For n=4, the absolute cone conjecture is true if and only if the 3-dimensional Poincare Conjecture is true.
dc.description15 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0507395
dc.identifierhttp://arxiv.org/abs/math/0507395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75839
dc.subjectGeometric Topology
dc.subject57N99, 57P99
dc.titleA solution to de Groot's absolute cone conjecture
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