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On intersections of simply connected sets in the plane

E. D. Tymchatyn
Vesko Valov

Puni tekst: engleski, pdf (175 KB) str. 159-163 preuzimanja: 517* citiraj
APA 6th Edition
Tymchatyn, E.D. i Valov, V. (2006). On intersections of simply connected sets in the plane. Glasnik matematički, 41 (1), 159-163. Preuzeto s https://hrcak.srce.hr/3306
MLA 8th Edition
Tymchatyn, E. D. i Vesko Valov. "On intersections of simply connected sets in the plane." Glasnik matematički, vol. 41, br. 1, 2006, str. 159-163. https://hrcak.srce.hr/3306. Citirano 20.10.2021.
Chicago 17th Edition
Tymchatyn, E. D. i Vesko Valov. "On intersections of simply connected sets in the plane." Glasnik matematički 41, br. 1 (2006): 159-163. https://hrcak.srce.hr/3306
Harvard
Tymchatyn, E.D., i Valov, V. (2006). 'On intersections of simply connected sets in the plane', Glasnik matematički, 41(1), str. 159-163. Preuzeto s: https://hrcak.srce.hr/3306 (Datum pristupa: 20.10.2021.)
Vancouver
Tymchatyn ED, Valov V. On intersections of simply connected sets in the plane. Glasnik matematički [Internet]. 2006 [pristupljeno 20.10.2021.];41(1):159-163. Dostupno na: https://hrcak.srce.hr/3306
IEEE
E.D. Tymchatyn i V. Valov, "On intersections of simply connected sets in the plane", Glasnik matematički, vol.41, br. 1, str. 159-163, 2006. [Online]. Dostupno na: https://hrcak.srce.hr/3306. [Citirano: 20.10.2021.]

Sažetak
Several authors have recently attempted to show that the intersection of three simply connected subcontinua of the plane is simply connected provided it is non-empty and the intersection of each two of the continua is path connected. In this note we give a very short complete proof of this fact. We also confirm a related conjecture of Karimov and Repovš.

Ključne riječi
Helly theorem; plane continua; absolute retracts

Hrčak ID: 3306

URI
https://hrcak.srce.hr/3306

Posjeta: 755 *