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

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Bressan, Juan C., and Toranzos, Fausto A.. "Visibility cells and $T$-convexity spaces." Compositio Mathematica 83.3 (1992): 251-257. <http://eudml.org/doc/90168>.

@article{Bressan1992,
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 = {http://eudml.org/doc/90168},
volume = {83},
year = {1992},
}

TY - JOUR
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 - http://eudml.org/doc/90168
ER -

References

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  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. 

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