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An algorithmic criterion for basicness in dimension 2

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Abstract

In this paper we give a geometric constructive procedure to check basicness of open (or closed) semialgebraic sets in surfaces; we get also a criterion for principality. These criterions allow us to give a geometric proof of the Bröcker’s 4-elements fans criterion for surfaces.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, I 56127, Pisa, Italy

    F. Acquistapace & F. Broglia

  2. Dep. de Geometría y Topología, Facultad de Matemáticas, Universidad Complutense, 28040, Madrid, Spain

    M. P. Vélez

Authors
  1. F. Acquistapace
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  2. F. Broglia
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  3. M. P. Vélez
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Additional information

Members of CNSAGA of CNR, partially supported by MURST

Partially supported by DGICYT PB92-0498-CO2-02 and a Beca-Complutense

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Acquistapace, F., Broglia, F. & Vélez, M.P. An algorithmic criterion for basicness in dimension 2. Manuscripta Math 85, 45–66 (1994). https://doi.org/10.1007/BF02568183

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  • DOI: https://doi.org/10.1007/BF02568183

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