Starshapedness in convexity spaces
Compositio Mathematica, Tome 56 (1985) no. 3, pp. 361-367. 
@article{CM_1985__56_3_361_0,
     author = {Ko{\l}odziejczyk, Krzysztof},
     title = {Starshapedness in convexity spaces},
     journal = {Compositio Mathematica},
     pages = {361--367},
     publisher = {Martinus Nijhoff Publishers},
     volume = {56},
     number = {3},
     year = {1985},
     zbl = {0584.52001},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1985__56_3_361_0/}
}
TY  - JOUR
AU  - Kołodziejczyk, Krzysztof
TI  - Starshapedness in convexity spaces
JO  - Compositio Mathematica
PY  - 1985
SP  - 361
EP  - 367
VL  - 56
IS  - 3
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1985__56_3_361_0/
LA  - en
ID  - CM_1985__56_3_361_0
ER  - 
%0 Journal Article
%A Kołodziejczyk, Krzysztof
%T Starshapedness in convexity spaces
%J Compositio Mathematica
%D 1985
%P 361-367
%V 56
%N 3
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1985__56_3_361_0/
%G en
%F CM_1985__56_3_361_0
Kołodziejczyk, Krzysztof. Starshapedness in convexity spaces. Compositio Mathematica, Tome 56 (1985) no. 3, pp. 361-367. http://archive.numdam.org/item/CM_1985__56_3_361_0/

[1] H. Brunn: Über Kemeigebiete. Math. Ann. 73 (1913) 436-440. | EuDML | JFM | MR

[2] V.W. Bryant and R.J. Webster: Convexity spaces. I. The basic properties. J. Math. Anal. Appl. 37 (1972) 206-213. | MR | Zbl

[3] E. Degreef: Some results in generalized convexity. Doct. diss., Free University of Brussel (1981)

[4] P.C. Hammer: Extended topology: Domain finiteness. Indag. Math. 25 (1963) 200-212. | MR | Zbl

[5] R.E. Jamison: A general theory of convexity. Doct. diss., University of Washington, Seattle (1974). | MR

[6] D.C. Kay and E.W. Womble: Axiomatic convexity theory and relationships between the Carathéodory, Helly and Radon numbers. Pacific J. Math. 38 (1971) 471-485. | MR | Zbl

[7] K. Kołodziejczyk: On starshapedness of the union of closedsets in Rn. Colloq. Math. (to appear). | Zbl

[8] K. Kołodziejczyk: The starshapedness number of a convexity space (preprint).

[9] M.A. Krasnosel'Skii: Sur un critère pour qu'un domain soit étoilé. Mat. Sb. 19 (1946) 309-310. | MR | Zbl

[10] F.W. Levi: On Helly's theorem and the axioms of convexity. J. Indian Math. Soc. 15 (1951) 65-76. | MR | Zbl

[11] P. Mah, S.A. Naimpally and J.H.M. Whitfield: Linearization of a convexity space. J. London Math. Soc. 13 (1976) 209-214. | MR | Zbl

[12] G. Sierksma: Axiomatic convexity theory and the convex product space. Doct. diss., University of Groningen (1976). | Zbl

[13] V.P. Soltan: Starshaped sets in the axiomatic theory of convexity. Bull. Acad. Sci. Georgian SSR 96 (1979) 45-48. | MR | Zbl

[14] F.A. Toranzos: Radial functions of convex and starshaped sets. Amer. Math. Monthly 74 (1967) 278-280. | MR | Zbl

[15] F.A. Valentine: Convex Sets. New York: McGraw-Hill (1964). | MR | Zbl