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Hyperspaces with exactly two orbits

Sam B. Nadler Jr.
Patricia Pellicer-Covarrubias

Puni tekst: engleski, pdf (490 KB) str. 141-157 preuzimanja: 463* citiraj
APA 6th Edition
Nadler Jr., S.B. i Pellicer-Covarrubias, P. (2006). Hyperspaces with exactly two orbits. Glasnik matematički, 41 (1), 141-157. Preuzeto s https://hrcak.srce.hr/3305
MLA 8th Edition
Nadler Jr., Sam B. i Patricia Pellicer-Covarrubias. "Hyperspaces with exactly two orbits." Glasnik matematički, vol. 41, br. 1, 2006, str. 141-157. https://hrcak.srce.hr/3305. Citirano 17.10.2021.
Chicago 17th Edition
Nadler Jr., Sam B. i Patricia Pellicer-Covarrubias. "Hyperspaces with exactly two orbits." Glasnik matematički 41, br. 1 (2006): 141-157. https://hrcak.srce.hr/3305
Harvard
Nadler Jr., S.B., i Pellicer-Covarrubias, P. (2006). 'Hyperspaces with exactly two orbits', Glasnik matematički, 41(1), str. 141-157. Preuzeto s: https://hrcak.srce.hr/3305 (Datum pristupa: 17.10.2021.)
Vancouver
Nadler Jr. SB, Pellicer-Covarrubias P. Hyperspaces with exactly two orbits. Glasnik matematički [Internet]. 2006 [pristupljeno 17.10.2021.];41(1):141-157. Dostupno na: https://hrcak.srce.hr/3305
IEEE
S.B. Nadler Jr. i P. Pellicer-Covarrubias, "Hyperspaces with exactly two orbits", Glasnik matematički, vol.41, br. 1, str. 141-157, 2006. [Online]. Dostupno na: https://hrcak.srce.hr/3305. [Citirano: 17.10.2021.]

Sažetak
Let C(X) be the hyperspace of all subcontinua of a (metric) continuum X. It is known that C(X) is homogeneous if and only if C(X) is the Hilbert cube. We are interested in knowing when C(X) is 1/2-homogeneous, meaning that there are exactly two orbits for the action of the group of homeomorphisms of C(X) onto C(X). It is shown that if X is a locally connected continuum or a nondegenerate atriodic continuum, and if C(X) is 1/2-homogeneous, then X is an arc or a simple closed curve. We do not know whether an arc and a simple closed curve are the only continua X for which C(X) is 1/2-homogeneous.

Ključne riječi
Arc; arc-like; atriodic; chainable; circle-like; connected im kleinen; continuum; finest monotone map; Hilbert cube; homogeneous; 1/2-homogeneous; 1/n-homogeneous; hyperspace; layers (tranches); locally connected; n-cell; n-fold hyperspace; n-fold symmetr

Hrčak ID: 3305

URI
https://hrcak.srce.hr/3305

Posjeta: 709 *