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On unions and intersections of nested families of cones

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Abstract

We prove that the union and the intersection of a nested family of cones in \({\mathbb {R}}^n\) (not necessarily convex or with a common apex) also are cones.

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Authors and Affiliations

  1. Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA

    Jim Lawrence & Valeriu Soltan

Authors
  1. Jim Lawrence
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  2. Valeriu Soltan
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Correspondence to Jim Lawrence.

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Lawrence, J., Soltan, V. On unions and intersections of nested families of cones. Beitr Algebra Geom 57, 655–665 (2016). https://doi.org/10.1007/s13366-016-0285-7

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  • DOI: https://doi.org/10.1007/s13366-016-0285-7

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