Skip to main content
SpringerLink
Log in

Sets expressible as finite unions of starshaped sets

  • Original Paper
  • Published:
Journal of Geometry Aims and scope Submit manuscript

Abstract.

Several papers have appeared with descriptions of sets that are expressible as unions of 2 or 3 starshaped sets. The general problem is relevant since it is closely related to the classical “Art Gallery Problem”. Some new solutions, for generic values of the parameters, are presented here. These solutions are adaptations of known characterizations of starshaped sets.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria, 1428, Buenos Aires, Argentina

    Fausto A. Toranzos & Ana Forte Cunto

Authors
  1. Fausto A. Toranzos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ana Forte Cunto
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fausto A. Toranzos.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Toranzos, F.A., Forte Cunto, A. Sets expressible as finite unions of starshaped sets. J. Geom. 79, 190–195 (2004). https://doi.org/10.1007/s00022-003-1563-8

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00022-003-1563-8

Mathematics Subject Classification (2000):

Key words:

Search

Navigation