Visibility cells and T -convexity spaces

Juan C. Bressan; Fausto A. Toranzos

Compositio Mathematica (1992)

  • Volume: 83, Issue: 3, page 251-257
  • ISSN: 0010-437X

How to cite


Bressan, Juan C., and Toranzos, Fausto A.. "Visibility cells and $T$-convexity spaces." Compositio Mathematica 83.3 (1992): 251-257. <>.

author = {Bressan, Juan C., Toranzos, Fausto A.},
journal = {Compositio Mathematica},
keywords = {convexity space; star-shapedness; visibility; covering; convex component},
language = {eng},
number = {3},
pages = {251-257},
publisher = {Kluwer Academic Publishers},
title = {Visibility cells and $T$-convexity spaces},
url = {},
volume = {83},
year = {1992},

AU - Bressan, Juan C.
AU - Toranzos, Fausto A.
TI - Visibility cells and $T$-convexity spaces
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 83
IS - 3
SP - 251
EP - 257
LA - eng
KW - convexity space; star-shapedness; visibility; covering; convex component
UR -
ER -


  1. [1] Bressan, J.C.: Sistema axiomático para operadores de cápsula convexa. Revista de la U.M.A.26 (1972) 131-142. Zbl0424.52001MR346660
  2. [2] Bressan, J.C.: Sistemas axiomáticos para la convexidad, Doctoral Thesis, Department of Mathematics, Universidad de Buenos Aires (1976). 
  3. [3] Bressan, J.C.: Estrellados y separabilidad en un sistema axiomático para la convexidad, Revista de la U.M.A.31 (1983) 1-5. Zbl0539.52001MR882872
  4. [4] Hammer, P.C.: Extended topology: Domain finiteness, Indag. Math.25 (1963) 200-212. Zbl0118.17702MR175071
  5. [5] Kay, D.C. and Womble, E.W.: Axiomatic convexity theory and relationships between the Carathéodory, Helly and Radon numbers, Pacific J.38 (1971) 471-485. Zbl0235.52001MR310766
  6. [6] Kofodziejczyk, K.: Starshapedness in convexity spaces, Comp. Math.56 (1985) 361-367. Zbl0584.52001MR814553
  7. [7] Toranzos, F.A.: Radial functions of convex and starshaped bodies, Amer. Math. Monthly74 (1967) 278-280. Zbl0145.42802MR208469
  8. [8] Toranzos, F.A.: The points of local nonconvexity of starshaped sets, Pacific J.101 (1982) 209-213. Zbl0496.52008MR671853
  9. [9] Wachenchauzer, R., Computing the visibility cell of a vertex in a polygon, Communication to the 10th SCCC International Conference, Santiago de Chile, July 1990. 

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.